Spatial pattern formation driven by the cross-diffusion in a predator–prey model with Holling type functional response
F Wang, R Yang - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we consider a cross-diffusion predator–prey system with Holling type
functional response. We study the local stability, Turing instability, spatial pattern formation …
functional response. We study the local stability, Turing instability, spatial pattern formation …
Existence of periodic solutions in predator–prey and competition dynamic systems
M Bohner, M Fan, J Zhang - Nonlinear Analysis: Real World Applications, 2006 - Elsevier
In this paper, we systematically explore the periodicity of some dynamic equations on time
scales, which incorporate as special cases many population models (eg, predator–prey …
scales, which incorporate as special cases many population models (eg, predator–prey …
A delay-induced predator–prey model with Holling type functional response and habitat complexity
Z Ma, S Wang - Nonlinear Dynamics, 2018 - Springer
A delay-induced predator–prey system with the effect of habitat complexity and Holling type
functional response is proposed. The dynamical behaviors of the presented system are …
functional response is proposed. The dynamical behaviors of the presented system are …
Global dynamics of a predator–prey model with time delay and stage structure for the prey
R Xu - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
A stage-structured predator–prey system with Holling type-II functional response and time
delay due to the gestation of predator is investigated. By analyzing the characteristic …
delay due to the gestation of predator is investigated. By analyzing the characteristic …
Bifurcation analysis and control of a discrete harvested prey–predator system with Beddington–DeAngelis functional response
In this paper, we study a discrete prey–predator system with harvesting of both species and
Beddington–DeAngelis functional response. By using the center manifold theorem and …
Beddington–DeAngelis functional response. By using the center manifold theorem and …
The impact of water level fluctuations on a delayed prey–predator model
A Moussaoui, S Bassaid, ELHA Dads - Nonlinear Analysis: Real World …, 2015 - Elsevier
Prey–predator interactions are influenced by many ecological factors. In this paper, a
delayed periodic prey–predator model with instantaneous negative feedback is investigated …
delayed periodic prey–predator model with instantaneous negative feedback is investigated …
[HTML][HTML] Multiple positive periodic solutions of a delayed discrete predator–prey system with type IV functional responses
W Zhang, D Zhu, P Bi - Applied Mathematics Letters, 2007 - Elsevier
In this paper, a discrete periodic predator–prey system with type IV functional responses and
time delay is investigated. Using Gaines and Mawhin's continuation theorem from …
time delay is investigated. Using Gaines and Mawhin's continuation theorem from …
Spatiotemporal dynamics in a delayed diffusive predator model
In this paper, we investigate the spatiotemporal dynamics of a delayed reaction–diffusion
Leslie–Gower model. Based on the stability analysis, we demonstrate that delayed feedback …
Leslie–Gower model. Based on the stability analysis, we demonstrate that delayed feedback …
[PDF][PDF] Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
G Zhu, J Wei - Electronic Journal of Qualitative Theory of Differential …, 2016 - real.mtak.hu
A delayed predator–prey system with a constant rate immigration is considered. Local and
global stability of the equilibria are studied, a fixed point bifurcation appears near the …
global stability of the equilibria are studied, a fixed point bifurcation appears near the …
Periodic solutions for a semi-ratio-dependent predator–prey system with nonmonotonic functional response and time delay
X Ding, C Lu, M Liu - Nonlinear Analysis: Real World Applications, 2008 - Elsevier
By using the continuation theorem of coincidence degree theory, the existence of a positive
periodic solution for the semi-ratio-dependent predator–prey system with nonmonotonic …
periodic solution for the semi-ratio-dependent predator–prey system with nonmonotonic …