Spatiotemporal dynamics induced by delay and diffusion in a predator–prey model with mutual interference among the predator

2018 ◽  
Vol 75 (10) ◽  
pp. 3488-3507 ◽  
Author(s):  
Zhan-Ping Ma ◽  
Jie Liu ◽  
Jia-Long Yue
Keyword(s):  
Mutual Interference ◽  
Spatiotemporal Dynamics ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
And Diffusion

scholarly journals Predator–prey model with prey-taxis and diffusion

2007 ◽  
Vol 46 (3-4) ◽  
pp. 482-498 ◽  
Author(s):  
Aspriha Chakraborty ◽  
Manmohan Singh ◽  
David Lucy ◽  
Peter Ridland
Keyword(s):  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
And Diffusion

scholarly journals Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Boli Xie ◽  
Zhijun Wang ◽  
Yakui Xue
Keyword(s):  
Time Delay ◽  
Spatial Dynamics ◽  
Turing Instability ◽  
Predator Prey ◽  
Cross Diffusion ◽  
Predator Prey Model ◽  
Prey Model ◽  
Real Model ◽  
Diffusion Controlled ◽  
And Diffusion

A predator-prey model with both cross diffusion and time delay is considered. We give the conditions for emerging Turing instability in detail. Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only of spots and stripe-like patterns, but also of the two coexist. The obtained results show that this system has rich dynamics; these patterns show that it is useful for the diffusive predation model with a delay effect to reveal the spatial dynamics in the real model.

Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference

2014 ◽  
Vol 07 (03) ◽  
pp. 1450028 ◽  
Author(s):  
Shengbin Yu ◽  
Fengde Chen
Keyword(s):  
Periodic Solution ◽  
Sufficient Conditions ◽  
Mutual Interference ◽  
Almost Periodic Solution ◽  
Type Ii ◽  
Almost Periodic ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Globally Attractive

In this paper, we consider a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference. By applying the comparison theorem of the differential equation and constructing a suitable Lyapunov function, sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained. Our results not only supplement but also improve some existing ones.

scholarly journals Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator

2020 ◽  
Vol 13 (11) ◽  
pp. 2949-2973
Author(s):  
Dingyong Bai ◽  
◽  
Jianshe Yu ◽  
Yun Kang ◽  
◽  
...  
Keyword(s):  
Spatiotemporal Dynamics ◽  
Generalist Predator ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model
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