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Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism
Journal of Mathematics. 2022. Vol. 2022. Article 4071375.
Editor of translation: Y. Kenan
In this article, we propose the Holling type-II predator-prey model involving cannibalism and gestation delay in predators. We study the existence of all possible equilibrium points of the proposed model. We give the condition for the local stability and Hopf bifurcation analysis for the nondelayed model. Next, we also establish the local stability and Hopf bifurcation analysis for the corresponding delayed model. Finally, we discuss how cannibalism and delay play an important role in stabilizing and destabilizing the proposed system both theoretically and numerically
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Ilyashenko Y., Shilin I., Stanislav Minkov, Russian Journal of Mathematical Physics 2026 Vol. 33 No. 1 P. 89–106
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Melentiev P. N., Калмыков А. С., Гритченко А. С. et al., Успехи физических наук 2024 Т. 194 № 11 С. 1130–1145
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Seralan V., R S., K S. et al., Advances in Continuous and Discrete Models 2021 Vol. 2021 Article 54
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S M., K S., R S. et al., Discontinuity, Nonlinearity, and Complexity 2021 Vol. 10 No. 3 P. 381–396
The aim of this work is to analyze the dynamics of intraguild predation model with ratio-dependent functional response and time-delay. We examine the conditions for local stability and existence of Hopf-bifurcation. Also, the condition for global stability is established by using proper Lyapanov function. Finally numerical simulations are given to verify the proposed theoretical results ...
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Seralan V., Discontinuity, Nonlinearity, and Complexity 2020 Vol. 9 No. 3 P. 461–476
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