Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting

F Souna, A Lakmeche, S Djilali - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a diffusive predator-prey model subject to the zero flux boundary conditions is
considered, in which the prey population exhibits social behavior and the harvesting …

Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect

P Majumdar, B Mondal, S Debnath, U Ghosh - Chaos, Solitons & Fractals, 2022 - Elsevier
In an ecological system, omnivores are often significantly important as they feed upon more
than one trophic level in a food chain model. Intraguild predation is a special kind of …

Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey

S Kumar, H Kharbanda - Chaos, Solitons & Fractals, 2019 - Elsevier
We discuss the stability and bifurcation analysis of predator-prey model in the presence of
group defense and non-linear harvesting in prey. Mathematically, we analyze the dynamics …

Hopf bifurcation analysis of a predator–prey model with Holling-II type functional response and a prey refuge

Y Zhou, W Sun, Y Song, Z Zheng, J Lu, S Chen - Nonlinear Dynamics, 2019 - Springer
In this paper, a predator–prey model with Holling-II type functional response and a prey
refuge is considered. The existence of Hopf bifurcations at the positive fixed point is …

Influence of the fear effect on a Holling type II prey–predator system with a Michaelis–Menten type harvesting

B Xie, Z Zhang, N Zhang - International Journal of Bifurcation and …, 2021 - World Scientific
In this work, a prey–predator system with Holling type II response function including a
Michaelis–Menten type capture and fear effect is put forward to be studied. Firstly, the …

Cyclicity of the limit periodic sets for a singularly perturbed Leslie–Gower predator–prey model with prey harvesting

J Yao, R Huzak - Journal of Dynamics and Differential Equations, 2022 - Springer
In this paper, we study the Leslie–Gower predator–prey model with Michaelis–Menten type
prey harvesting. Our main focus is on the cyclicity of diverse limit periodic sets, including a …

Chaos detection and optimal control in a cannibalistic prey–predator system with harvesting

H Kharbanda, S Kumar - International Journal of Bifurcation and …, 2020 - World Scientific
This paper deals with a stage-structured predator–prey system which incorporates
cannibalism in the predator population and harvesting in both population. The predator …

Existence and Uniqueness of a Canard Cycle with Cyclicity at Most Two in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Prey Harvesting

Z Wen, T Shi - International Journal of Bifurcation and Chaos, 2024 - World Scientific
proved that the cyclicity of canard cycles in a singularly perturbed Leslie–Gower predator–
prey model with prey harvesting is at most two in a region of parameters. In this paper, we …

Bifurcation analysis of a modified Leslie–Gower model with Holling type-IV functional response and nonlinear prey harvesting

Z Zhang, RK Upadhyay, J Datta - Advances in Difference Equations, 2018 - Springer
In this work, an attempt is made to understand the dynamics of a modified Leslie–Gower
model with nonlinear harvesting and Holling type-IV functional response. We study the …

[HTML][HTML] Optimization of an integrated feedback control for a pest management predator-prey model

Z Shi, H Cheng, Y Liu, Y Wang - Mathematical Biosciences and …, 2019 - aimspress.com
In this paper, a Leslie-Gower predator-prey model with ratio-dependence and state pulse
feedback control is established to investigate the effect of spraying chemical pesticides and …