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Rosenstein, M., Collins, J.J., and De Luca, C.J. (2019), Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods, Eur. Qureshi, S., Atangana, A., and Shaikh, A.A. (1992), Intraguild predation: The dynamics of complex trophic interactions, Trends Ecol. (1970), Interspecific competition, predation and species diversity, J. (2018), Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear, Int. (1966), The Pisaster-Tegula interaction: prey patches, predator food preference, and intertidal community structure, Am. (2012), Temperature-dependent ranges of coexistence in a model of a two-prey-one-predator microbial food web, Marine Biol., 159(11), 2423-2430. Nomdedeu, M.M., Willen, C., Schieffer, A. (2001), Stability and complexity in model ecosystems, Princeton University Press. (2008), The dynamic complexity of a three species food chain model, Chaos Soliton Fract, 37(5), 1469-1480. (1956), Elements of Mathematical Biology, Dover Publications, New York. (2006), Stability and bifurcation in a harvested one-predator-two-prey model with delays, Chaos Soliton Fract, 27(5), 1395-1407.
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(1994), Chaos in one-predator, two prey models: general results from bifurcation theory, Math. (2009), A bio-economic model of two-prey one-predator system, J. (2011), Dynamic behaviour of a delayed predator-prey model with harvesting, Appl. (1983), A criterion for permanent coexistence of species, with an application to a two-prey one predator system, Math. (1997), A theoretical framework for intraguild predation, Am. (2020), Cross-diffusion-driven pattern formation and selection in a modified Leslie-Gower predator-prey model with fear effect, J. (1976), Theory of Functional Differential Equations, Springer-Verlag, New York.
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(2020), Modeling and analysis of a predator-prey model with disease in the prey, Math. (1977), Complexity-stability relationship of two-prey- one-predator species system model: local and global stability, J. (1993), Coexistence, stability, and limiting behavior in a one-predator-two-prey model, J. (2019), Impact of prey herd shape on the predator-prey interaction, Chaos Soliton Fract, 120, 139-148.įeng, W. (1972), Interspecific competition, predation and species diversity: a comment,ĭjilali, S. (2011), Modeling herd behavior in population systems, Nonlinear Analysis: Real World Applications, 12(4), 2319-2338.Ĭramer, N.F. (2019), Modeling attractors of chaotic dynamical systems with fractal-fractional operators, Chaos Soliton Fract, 123(5), 320-337.Ījraldi, V., Pittavino, M., and Venturino, E. Special Assistance Programme (SAP-III) sponsored by the University GrantsĬommission (UGC), New Delhi, India (Grant No. Third authors gratefully acknowledge the financial support in part from Referees, whose careful study we are pleased to acknowledge.
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The present form of the paper owes much to the useful suggestions of the We conclude that chaotic dynamics can be executed by the prey harvesting parameters. In addition to, we put forward a detailed numerical simulation to justify the chaotic dynamics of the present system. Lyapunov exponents are worked out numerically and an unstable scenario for significant parameters of the model system has been executed to characterize the complex dynamics. Specifically, stability, Hopf-Andronov bifurcation for the respective system parameters and dissipativeness has been performed in order to scrutinize the system behaviour. Attention has been given to demonstrate the system characteristics near the biologically feasible equilibria. The objective of this study is to explore the harvesting mechanism scenario in a three-dimensional interacting species system such as one prey and two specialist predators. The present investigation deals with a tritrophic food web model with Holling-Tanner type II functional response to clarify the dynamical complexity of the eco-systems in the natural environment.
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$^2$ Department of Mathematics, Vivekananda Mahavidyalaya, Purba Bardhaman, West Bengal, India, 713103 Download Full Text PDF $^1$ Department of Mathematics, Visva-Bharati, Santiniketan, West Bengal, India, 731235 Krishnendu Sarkar$^1$, Nijamuddin Ali$^2$, Lakshmi Narayan Guin$^1$ Dynamical Complexity in a Tritrophic Food Chain Model with Prey Harvestingĭiscontinuity, Nonlinearity, and Complexity 10(4) (2021) 705-722 | DOI:10.5890/DNC.2021.12.010