### Sample of Institute of Systems Science publications

__ResearchGate__)

### Natural Systems Modelling Group

#### Wildlife, Environment, Agriculture and Disease

Duffy, K.J., 2022. Attacking the role of invasion in ecology: A holistic approach. *South African Journal of Science*, 118(11/12).

Mugabi, F., Duffy, K.J., Mugisha, J.Y. and Collins, O.C., 2022. Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements. J. Appl. Math. Comput. 68, 1949–1978

Raphela, T.D. and Duffy, K., 2022. The Impact of Lantana camara on Invertebrates and Plant Species of the Groenkloof Nature Reserve, South Africa. *Zoological Studies*, 61.

Collins, O. C., and Duffy, K.J., 2022. A stochastic epidemic model for the dynamics and control of maize streak disease, *Acta Agriculturae Scandinavica, Section B — Soil & Plant Science*, 72: 635-647.

Collins, O.C. and Duffy, K.J., 2022. A mathematical model for the dynamics and control of malaria in Nigeria. *Infectious Disease Modelling*, 7: 728-741.

Mkhize, X., Oldewage-Theron, W., Napier, C., Duffy, K., Mthembu, B.E., 2022. Introducing grain legumes for crop diversification and sustainable food production systems amongst urban small-holder farmers: a food and nutrition security project in KwaZulu . *Agroecology and Sustainable Food Systems*, 1-24.

Malinzi, J., Gwebu, S. and Motsa, S., 2022. Determining COVID-19 dynamics using physics informed neural networks. *Axioms*, *11*:121.

Duffy, K.J. and Collins, O.C., 2021. Model analyses show how biodiversity conservation could reduce infectious diseases in an ecosystem. *Natural Resource Modeling*, 34(4): e12319.

Mugabi, F., Duffy, K.J., Mugisha, J.Y. and Collins, O.C., 2021. Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments. *Mathematical Biosciences*, 342: 108718.

Mugabi, F., Duffy, K.J., Mugisha, J.Y. and Collins, O.C., 2021. Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements. *Journal of Applied Mathematics and Computing*, pp.1-30. doi.org/10.1007/s12190-021-01596-9

Ige, O.E., Olanrewaju, O.A., Duffy, K.J., and Collins, O.C., 2021. A review of the effectiveness of Life Cycle Assessment for gauging environmental impacts from cement production. Journal of Cleaner Production, 129213.

Cui, L., Guo, Q., Wang, X., Duffy, K. and Dai, X., 2021. Midgut bacterial diversity of a leaf-mining beetle, Dactylispa xanthospila (Gestro)(Coleoptera: Chrysomelidae: Cassidinae). *Biodiversity Data Journal*, 9: e62843.

Yang, J., Wang, X., Duffy, K. and Dai, X., 2021. A preliminary world checklist of fern-mining insects. *Biodiversity Data Journal*, 9: e62839.Collins, O.C., and Duffy, K.J., 2020. Estimating the impact of lock-down, quarantine and sensitization in a COVID-19 outbreak: lessons from the COVID-19 outbreak in China. *PeerJ,* 8: e9933.

Malinzi, J., 2021. A mathematical model for oncolytic virus spread using the telegraph equation. *Communications in Nonlinear Science and Numerical Simulation*, 102:105944.

Mugabi, F., Duffy, K.J., Mugisha, J.Y. and Collins, O.C., 2020. Determining the effects of transplacental and direct transmission on the probability of persistence in a bluetongue virus model in temperate and tropical regions. *Results in Applied Mathematics*, 7:100120.

Duffy, K.J. and Collins, O.C., 2019. Consumer-resource coexistence as a means of reducing infectious disease. *Journal of Biological Dynamics*, 13: 177-191.

Duffy, K.J., O’Connor, T.G. and Collins, O.C. 2018. A lepidopteran (*Imbrasia belina*) might influence tree-grass balance of Colophospermum mopane savanna. *Theoretical ecology*, 1-11.

Collins, O.C. and Duffy, K.J., 2018. How species diversity could reduce the prevalence of infectious diseases. *Applied Ecology and Environmental Research*, 16: 1621-1638.

Collins, O.C. and Duffy, K.J., 2018. Optimal control of foliar disease dynamics for multiple maize varieties. *Acta Agriculturae Scandinavica, Section B—Soil & Plant Science*, 68: 412-423.

Collins, O. C. and Duffy, K.J., 2018. Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study. *Journal of Applied mathematics*,

Makuvaro, V., Walker, S., Masere, T.P. and Dimes, J., 2018. Smallholder farmer perceived effects of climate change on agricultural productivity and adaptation strategies. *Journal of Arid Environments*, *152*, pp.75-82.

Dai, X., Zhang, W., Xu, J., Duffy, K.J. and Guo, Q. 2017. Global pattern of plant utilization across different organisms: Does plant apparency or plant phylogeny matter? *Ecology and Evolution*, 7: 2535–2545.

Duffy, K.J. and Collins, O.C. 2016. Identifying stability conditions and Hopf bifurcations in a consumer resource model using a consumption threshold. *Ecological complexity, *212-217*.*

Collins, O.C. and Duffy, K.J. 2016. Consumption threshold used to investigate stability and ecological dominance in consumer-resource dynamics. *Ecological Modelling*, 319:155-162.

Collins, O.C. and Duffy, K.J. 2016. Optimal control of maize foliar diseases using the plants population dynamics. *Acta Agriculturae Scandinavica, Section B Soil & Plant Science*, 66: 20-28.

Collins, O.C. and Duffy, K.J. 2016. Understanding multiple species ecosystem dynamics using a consumer resource model. *Natural Resource Modelling*, 29: 145–158.

Manjengwa, S., Chitja, J., and Duffy, K.J. 2016. Investigation of indigenous strategies and empirical models for adaptability of the maize-bean intercropping system to climate change in Kwazulu-Natal. *Indilinga: African Journal of Indigenous Knowledge Systems*, 15: 328-347.

Duffy, K. J. and Masere, T.P. 2015. Effect of within season daily rainfall distribution on maize crop yields. *Outlook on Agriculture,* 44:267-272.

Masere, T.P. and Duffy, K. J. 2014. Factors cost effectively improved using computer simulations of maize yields in semi-arid sub-Saharan Africa. *South African Journal of Agricultural Extension,* 42: 39-50.

O’Kane, C.A.J., Duffy, K.J., Page, B.R. and Macdonald, D.W. 2014. Model highlights likely long-term influences of mesobrowsers versus those of elephant on woodland dynamics, suggesting redirection of management efforts. *African Journal of Ecology*, 52: 192–208.

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### Human systems

Duffy, K.J., Collins, O.C., & Simelane, T., 2022. System dynamics model linking demand, employment movement between sectors and the economy for the South African construction sector. *Theoretical and Empirical Researches in Urban Management*, 17(2): 5-15.

Collins, O.C. and Duffy, K.J., 2021. Mathematical Analyses on the Effects of Control Measures for a Waterborne Disease Model with Socioeconomic Conditions. *Journal of Computational Biology*, *28*(1): 19-32.

Collins O. C., Simelane T.S. and Duffy, K.J., 2019. Mathematical model showing how socio-economic dynamics in African cities could widen or reduce inequality. *African Journal of Science*, *Technology, Innovation and Development*, 1-8.

Collins, O.C., Simelane, T.S. and Duffy, K.J., 2019. Analyses of mathematical models for city population dynamics under heterogeneity. *African Journal of Science, Technology, Innovation and Development*, *11*(3): 323-337.

Duffy, K.J., Simelane, T.S. and Collins, O.C., 2018. Income as a primary driver of South African inner-city migration. *Theoretical and Empirical Researches in Urban Management*, 13: 25-36.

Adeyemi, O.J., Popoola, S.I., Atayero, A.A., Afolayan, D.G., Ariyo, M. and Adetiba, E., 2018. Exploration of daily Internet data traffic generated in a smart university campus. *Data in Brief*, *20: *30-52.

Ebhota, W.S., 2018. “Simplified framework for Small Hydropower Potential Site Development and the Determination of Turbine Capacity,” *International Journal of Applied Engineering Research *vol., 13: 15530-15538.

Ebhota, W.S. and Tabakov, P.Y., 2018. Power Inadequacy, the Thorn in Economic Growth of Nigeria*. International Journal of Applied Engineering Research*, 13(16), pp.12602-12610.

Ebhota, W.S. and Tabakov, P.Y., 2018. “Power Inadequacy Impedes Economic Growth in Sub-Saharan Africa,” *International Journal of Mechanical Engineering & Technology, *9: 610-622.

Popoola, S.I., Adetiba, E., Atayero, A.A., Faruk, N. and Calafate, C.T., 2018. Optimal model for path loss predictions using feed-forward neural networks. *Cogent Engineering*, *5*(1), p.1444345.

Adetiba, E., Matthews, V. O., John, S. N., Popoola, S. I. and Abayomi, A., 2018. Evolving cellular communication networks with software-defined radio architecture and open-source technologies. *Cogent Engineering*, *5*(1), p. 1507465.

Pearce, B. 2015. The afterlife of books: metaphors of reality”. *English Academy Review:* *Southern African Journal of English Studies,* 32: 10-22.

### Physical Systems Modelling Group

### Engineering and process systems

Elmezughi, M.K., Salih, O., Afullo, T.J. and Duffy, K.J., 2022. Comparative Analysis of Major Machine-Learning-Based Path Loss Models for Enclosed Indoor Channels. *Sensors*, *22*(13): 4967.

Salih, O. and Duffy, K.J., 2022. The local ternary pattern encoder–decoder neural network for dental image segmentation. *IET Image Process*, 16: 1511-1763.

Ige, O.E., Olanrewaju, O.A., Duffy, K.J., and Collins, O.C., 2022. Environmental Impact Analysis of Portland Cement (CEM1) Using the Midpoint Method. *Energies*, 15(7): 2708.

Ige, O.E., Duffy, K.J., Olanrewaju, O.A. and Collins, O.C., 2022. An Integrated System Dynamics Model and Life Cycle Assessment for Cement Production in South Africa. *Atmosphere*, 13: 1788.

Etim, A.O., Musonge, P., and Eloka-Eboka, A.C. 2022. A green process synthesis of bio-composite heterogeneous catalyst for the transesterification of linseed-marula bi-oil methyl ester. *Results in Engineering*, 16: 100645

Afolabi, F.O., Musonge, P., and Bakare, B.F. 2022. Adsorption of Copper and Lead Ions in a Binary System onto Orange Peels: Optimization, Equilibrium, and Kinetic Study. *Sustainability* 14: 10860.

Gumede, S. and Musonge, P. 2022. Characterisation of Mg-Al Hydrotalcite and Surfactant-Modified Bentonite Nano Clays for the Treatment of Acid Mine Drainage. *Sustainability*, 14: 9501.

Olagunju, O.A, Musonge P., and Kiambi, S.L. 2022. Production and Optimization of Biodiesel in a Membrane Reactor, Using a Solid Base Catalyst. *Membranes*; 12, (7), 674.

Harripersadth, C. and Musonge, P. 2022. The Dynamic Behaviour of a Binary Adsorbent in a Fixed Bed Column for the Removal of Pb2+ Ions from Contaminated Water Bodies. Special Issue Advances in Biomass Valorization Approaches for the Circular Economy *Sustainability* 2022, 14: 7662.

Jwara, T.Y.S., Musonge, P., an dBakare, B.F. 2022. Chemical Oxygen Demand Characterization of Wastewaters Containing Mixed Effluents. *International Journal of Engineering Research and Technology*. 15: 68-77.

Etim, A.O., Musonge, P., and Eloka-Eboka, A.C. (2022). Evaluation of in-situ and ex-situ hybridization study in the optimised transesterification of waste and pure vegetable oils. *Biofuels, Bioproducts & Biorefining*.

Paliathanasis, A., 2022. Lie symmetry analysis for two-phase flow with mass transfer. *International Journal of Nonlinear Sciences and Numerical Simulation*.

#### Mathematical physics group

Govender, W., Bogadi, R.S., Govender, M. and Duffy, K.J., 2022. Dynamical forces and the influence of an equation of state on gravitational collapse. *Annals of Physics*, p.168814.

Paliathanasis, A., 2021. Shallow-water equations with complete Coriolis force: Group properties and Similarity solutions, *Math. Meth. Appl. Sci*., 44: 6037. DOI:10.1002/mma.7168

Paliathanasis, A., 2021. Lie symmetry analysis and similarity solutions for the Camassa-Choi equations, *Analysis and Mathematical Physics*, 11: 57. DOI:10.1007/s13324-021-00492-6

Paliathanasis, A. and G. Leon, 2021. Dynamics of a two scalar field cosmological model with phantom terms, Class. *Quantum Grav*., 38: 075013. DOI:10.1088/1361- 382/abe2d7

Paliathanasis, A., 2021. Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation, *Eur. Phys. J. Plus*,136: 538. DOI:10.1140/epjp/s13360-021-01550-5

Khyllep, W., Paliathanasis, A. and J. Dutta, Cosmological dynamics and solutions in f (Q) theory, *Phys. Rev. D*, 103: 103521. DOI:10.1103/PhysRevD.103.103521

Paliathanasis, A., 2021. New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries, *Mod. Phys. Lett. A*, 36: 2150100. DOI:10.1142/S0217732321501005

Paliathanasis, A., 2021. O(d, d) symmetry in teleparallel dark energy, *Eur. Phys. J. Plus*, 136: 674. DOI:10.1140/epjp/s13360-021-01666-8

Zampeli, A. and Paliathanasis, A., 2021. Quantization of Inhomogeneous spacetimes with Cosmological Con- stant term, Class. *Quantum Grav*., 38: 165012. DOI:10.1088/1361-6382/ac1209

Paliathanasis, A., 2021. Dynamics in interacting scalar-torsion cosmology, *Universe*, 7: 244. DOI:10.3390/universe7070244

Halder, A.K., Leach, P.G.L., Paliathanasis, A. and Sinuvasan, R., 2020. Cheng equation: A revisit through symmetry analysis. *Quaestiones Mathematicae*, 43(7): 857-867.

Halder, A.K., Paliathanasis, A., Seshadri, R. and Leach, P.G., 2020. Lie symmetry analysis and similarity solutions for the Jimbo–Miwa equation and generalisations. *International Journal of Nonlinear Sciences and Numerical Simulation*, 1.

Leon, G., Paliathanasis, A. and Abab, L.V., 2020. Stability of a modified Jordan–Brans–Dicke theory in the dilatonic frame. *General Relativity and Gravitation*, 52(7): 1-43.

Paliathanasis, A. and Leon, G., 2020. Cosmological solutions in Horava-Lifshitz scalar field theory. *Zeitschrift für Naturforschung A*, 75(6): 523-532.

Pan, S., Yang, W. and Paliathanasis, A., 2020. Non-linear interacting cosmological models after Planck 2018 legacy release and the H 0 tension. *Monthly Notices of the Royal Astronomical Society*, 493(3): 3114-3131.

Paliathanasis, A., 2020. Extended analysis for the evolution of the cosmological history in Einstein-aether scalar field theory. *Physical Review D*, 101(6): 064008.

Pan, S., Yang, W. and Paliathanasis, A., 2020. Imprints of an extended Chevallier–Polarski–Linder parametrization on the large scale of our universe. *The European Physical Journal C*, 80(3), pp.1-17.

Paliathanasis, A., 2020. On the application of Lie point symmetries in cosmological theories with minisuperspace description. *Modern Physics Letters A*, 35(04): 1975004.

Paliathanasis, A., 2020. Similarity inner solutions for the Pulsar equation. *Mathematical Methods in the Applied Sciences*, 43(2), pp.716-726.

Jamal, S. and Paliathanasis, A., 2020. Approximate symmetries and similarity solutions for wave equations on liquid films. *Applicable Analysis and Discrete Mathematics*, (00):18-18.

Leon, G., Coley, A. and Paliathanasis, A., 2020. Static spherically symmetric Einstein-aether models II: integrability and the modified Tolman–Oppenheimer–Volkoff approach. *Annals of Physics*, 412:168002.

Paliathanasis, A., Papagiannopoulos, G., Basilakos, S., & Barrow, J. D., 2019. Dynamics of Einstein–Aether scalar field cosmology. European Physical Journal C, 79(8): 35–39. https://doi.org/10.1140/epjc/s10052-019-7229-y

Barrow, J.D. and Paliathanasis, A., 2018. Szekeres universes with homogeneous scalar fields. *The European Physical Journal C*, 78(9): 767.

Barrow, J.D. and Paliathanasis, A., 2018. Reconstructions of the dark-energy equation of state and the inflationary potential. *General Relativity and Gravitation*, 50(7): 82.

#### Theoretical physics group

Zloshchastiev, K.G., 2022. Galaxy rotation curves in superfluid vacuum theory. *Pramana*, *97*: 2.

Zloshchastiev, K.G., 2022. Resolving the puzzle of sound propagation in a dilute Bose–Einstein condensate. *International Journal of Modern Physics B*, *36*: 2250121.

Zloshchastiev, K.G., 2022. Sound propagation in cigar-shaped Bose liquids in the Thomas-Fermi approximation: A comparative study between Gross-Pitaevskii and logarithmic models. *Fluids*, *7*: 358.

Kraiev, M., Domina, K., Kraieva, V. and Zloshchastiev, K.G., 2022. Logarithmic wave-mechanical effects in polycrystalline metals: theory and experiment. *Indian Journal of Physics*, *96*: 2385-2392.

Zloshchastiev, K.G., 2021. On asymptotic behaviour of galactic rotation curves in superfluid vacuum theory. *Astronomy Reports*, 65: 1078-1083. doi.org/10.1134/S1063772921100437

Zloshchastiev, K.G., 2021. Superfluid stars and Q-balls in curved spacetime. *Low Temperature Physics*, 47: 89. doi.org/10.1063/10.0003166

Zloshchastiev, K.G., 2021. Acoustic oscillations in cigar-shaped logarithmic Bose–Einstein condensate in the Thomas–Fermi approximation. *International Journal of Modern Physics B*, 35: 2150229. doi.org/10.1142/S0217979221502295

Belendryasova, E., Gani, V.A. and Zloshchastiev, K.G., 2021. Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions. *Physics Letters B*, 823: 136776. doi.org/10.1016/j.physletb.2021.136776

Zloshchastiev, K.G., 2020. Superfluid vacuum theory and deformed dispersion relations. *International Journal of Modern Physics A*, 35: 2040032.

Scott, T.C. and Zloshchastiev, K.G., 2019. Resolving the puzzle of sound propagation in liquid helium at low temperatures. *Low Temperature Physics*, 45: 1231-1236.

Zloshchastiev, K. G., 2018. Nonlinear wave-mechanical effects in Korteweg fluid magma transport*. Europhys. Lett*.,122: 39001.

Zloshchastiev, K. G., 2018. On the dynamical nature of nonlinear coupling of logarithmic quantum wave equation, Everett-Hirschman entropy and temperature. *Z. Naturforsch. A*, 73.

Praxmeyer, L. and Zloshchastiev, K. G., 2018. Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay. *Int. J. Mod. Phys. B*, 32: 1850276.

Dzhunushaliev, V., 2018. Topologically nontrivial solution in Einstein-Dirac gravity on the Hopf bundle. *Gravitation and Cosmology*, 24: 267-273.

Katkov, M.V., Lubov, D.P. and Pershin, Y.V., 2018. Current–Voltage Characteristics of Commercial Ferroelectric Capacitors: Deviations from the Preisach Model. Journal of Contemporary Physics (Armenian Academy of Sciences), 53: 65-72.

Prestipino, S., Sergi, A. and Bruno, E., 2018. Freezing of soft-core bosons at zero temperature: A variational theory. *Physical Review B* 98: 104104.

Sergi, A., Hanna, G., Grimaudo, R. and Messina, A., 2018. Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths. *Symmetry*, 10: 518.

Kanygin, M.A., Katkov, M.V. and Pershin, Y.V., 2017. Similarity between the response of memristive and memcapacitive circuits subjected to ramped voltage. *Journal of Nanophotonics*, 11: 032507-032507.