Pattern dynamics in a reaction–diffusion predator–prey model with Allee effect based on network and non-network environments

L Zhu, X Tao, S Shen - Engineering Applications of Artificial Intelligence, 2024 - Elsevier
In this paper, we establish a predator–prey model with Beddington–Deangelis functional
response. For this model, firstly, the existence of the positive equilibrium point and the …

Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food

R Yang, F Wang, D ** - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
The nonlocal competition in prey is incorporated into a diffusive predator–prey model with
additional food in predator and time delay. The local stability of the coexisting equilibrium is …

Bifurcations and dynamics of a discrete predator–prey model of ricker type

MY Hamada, T El-Azab, H El-Metwally - Journal of Applied Mathematics …, 2023 - Springer
A discrete-time predator–prey model is investigated in this paper. In considered model, the
population is assumed to follow the model suggested by Ricker 1954. Existence and stability …

[HTML][HTML] Solitary wave solutions of the conformable space–time fractional coupled diffusion equation

K Manikandan, N Serikbayev, D Aravinthan… - … Differential Equations in …, 2024 - Elsevier
In the realm of spatio-temporal fractional dynamics in a predator–prey system, we
investigate fractional solitary wave-like solutions using the conformable space–time …

Theoretical and numerical bifurcation analysis of a discrete predator–prey system of Ricker type with weak Allee effect

PA Naik, R Ahmed, A Faizan - Qualitative Theory of Dynamical Systems, 2024 - Springer
This study aims to explore the complexity of a discrete-time predator–prey system with a
weak Allee effect. The existence and stability of fixed points, as well as period-doubling and …

Fractional model of smoking with relapse and harmonic mean type incidence rate under Caputo operator

Q Haidong, MU Rahman, M Arfan - Journal of Applied Mathematics and …, 2023 - Springer
In this manuscript, we have analyzed a new time non-integer order smoking model endowed
with Caputo fractional type derivative operator. The model is composed of four …

Dynamical analysis of a stochastic non-autonomous SVIR model with multiple stages of vaccination

M Mehdaoui, AL Alaoui, M Tilioua - Journal of Applied Mathematics and …, 2023 - Springer
In this paper, we analyze the dynamics of a new proposed stochastic non-autonomous SVIR
model, with an emphasis on multiple stages of vaccination, due to the vaccine …

Role of prey refuge and fear level in fractional prey–predator model with anti-predator

RP Chauhan, R Singh, A Kumar, NK Thakur - Journal of Computational …, 2024 - Elsevier
Ecological modeling is an effective tool for studying the interactions between predator and
prey species by considering various functional responses and ecological effects. Employing …

A predator–prey system with prey social behavior and generalized Holling III functional response: Role of predator‐taxis on spatial patterns

F Souna, PK Tiwari, M Belabbas… - … Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we investigate the intrinsic impact of the predator‐taxis coefficient on the
formation of spatial patterns in a predator–prey system with prey social behavior subject to …

Dynamics analysis of a predator–prey fractional-order model incorporating predator cannibalism and refuge

M Rayungsari, A Suryanto… - Frontiers in Applied …, 2023 - frontiersin.org
In this article, we consider a predator–prey interaction incorporating cannibalism, refuge,
and memory effect. To involve the memory effect, we apply Caputo fractional-order …