Qualitative study of cross-diffusion and pattern formation in Leslie–Gower predator–prey model with fear and Allee effects

D Pal, D Kesh, D Mukherjee - Chaos, Solitons & Fractals, 2023 - Elsevier
The present study is focused on interacting prey–predator reaction–diffusion model with
modified Leslie–Gower type functional response incorporating Allee and fear effects. We …

Turing patterns in a predator–prey model with double Allee effect

F Wang, R Yang, X Zhang - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, a predator–prey model with double Allee effect and self-diffusion terms is
considered. The stability of the coexisting equilibrium is studied by analyzing the eigenvalue …

Hunting cooperation among slowly diffusing specialist predators can induce stationary Turing patterns

N Mukherjee, M Banerjee - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
In this work we consider the spatio-temporal extension of a class of prey–predator models
with hunting cooperation in the specialist predator population. Three different types of …

Bifurcation and pattern formation in a prey–predator model with cooperative hunting

SK Verma, B Kumar - The European Physical Journal Plus, 2024 - Springer
In this article, we have investigated the temporal and spatiotemporal dynamics of the prey–
predator model with hunting cooperation. Prey–predator models contribute to the field of …

Consequences of Allee effect on the multiple limit cycles in a predator–prey model

B Mondal, K Senapati, S Pandey, U Ghosh - The European Physical …, 2023 - Springer
In the present paper, we examine the effects of the Allee threshold on prey–predator
interaction frameworks developed by utilising the Holling type-III response. Initially, we find …

The effect of nonlocal interaction on chaotic dynamics, Turing patterns, and population invasion in a prey–predator model

R Yadav, S Pal, M Sen - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Pattern formation is a central process that helps to understand the individuals' organizations
according to different environmental conditions. This paper investigates a nonlocal …

The Impact of Allee Effect on a Leslie–Gower Predator–Prey Model with Hunting Cooperation

Y Liu, Z Zhang, Z Li - Qualitative Theory of Dynamical Systems, 2024 - Springer
A Leslie–Gower predator–prey model with Allee effect on prey and hunting cooperation on
predator is considered. We show the solution of model is positive and ultimately upper …

Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator

B Kumar, RK Sinha - Computational and Mathematical Biophysics, 2023 - degruyter.com
In this work, the dynamics of a food chain model with disease in the predator and the Allee
effect in the prey have been investigated. The model also incorporates a Holling type-III …

Spatio-temporal complexity in a prey-predator system with holling type-IV response and Leslie-type numerical response: Turing and steady-state bifurcations

R Yadav, M Sen - Mathematics and Computers in Simulation, 2024 - Elsevier
In this study, we unravel the intricate dynamics of a spatio-temporal prey-predator model
featuring a Holling type-IV functional response and Leslie-type predator numerical response …

Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response

I Benamara, A El Abdllaoui, R Yafia… - … Modelling of Natural …, 2023 - mmnp-journal.org
The Spatio-temporal pattern induced by self-diffusion of a predator-prey model with Boiling
type III functional response that incorporates the hunting cooperation between predators has …