Stability and Hopf bifurcation of a multiple delayed predator–prey system with fear effect, prey refuge and Crowley–Martin function

Z Liang, X Meng - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we consider a predator–prey model with fear response delay, gestation delay,
fear effect, prey refuge, harvesting and Crowley–Martin type functional response. First, we …

Detection of Hopf bifurcations induced by pregnancy and maturation delays in a spatial predator–prey model via crossing curves method

S Li, C Huang, X Song - Chaos, Solitons & Fractals, 2023 - Elsevier
We investigate the stability switches behaviors due to Hopf bifurcations triggered by
maturation and pregnancy delays for a diffusive predator–prey model under the joint impacts …

Spatio-temporal dynamics in a reaction-diffusion equation with nonlocal spatial memory

S Xue, Y Song, H Wang - SIAM Journal on Applied Dynamical Systems, 2024 - SIAM
To model a single-species cognitive movement, we formulate a reaction-diffusion equation
with nonlocal spatial memory and investigate its dynamics. We explore the influence of the …

Spatial movement with temporally distributed memory and Dirichlet boundary condition

J Shi, Q Shi - Journal of Differential Equations, 2024 - Elsevier
In this paper, a reaction-diffusion population model with Dirichlet boundary condition and a
directed movement oriented by a temporally distributed delay is proposed to describe the …

Double Hopf bifurcation induced by gestation and memory delays in a spatial model with directed movement

S Li, S Yuan - Applied Mathematics Letters, 2023 - Elsevier
We narrow our focus on double Hopf bifurcations triggered by gestation and memory delays
in a spatial model with tactical directed movement in this letter. We generalize the …

Bifurcation analysis of a predator–prey model with memory-based diffusion

R Dou, C Wang - Nonlinear Analysis: Real World Applications, 2024 - Elsevier
In this paper, we investigate the predator–prey model equipped with Fickian diffusion and
memory-based diffusion of predators. The stability and bifurcation analysis explores the …

[HTML][HTML] Stability and bifurcation control of a delayed fractional eco-epidemiological system with saturated incidence

Q Li, D Sun, H Liu, W Zhao - Results in Physics, 2023 - Elsevier
This paper proposes a delayed feedback control strategy for a fractional ecological
infectious disease system with infected predators. Firstly, for the uncontrolled system, the …

Spatial memory drives spatiotemporal patterns in a predator-prey model describing intraguild predation

X Pu, G Zhang, X Wang - Discrete and Continuous Dynamical …, 2024 - aimsciences.org
In this paper, we consider a predator-prey model describing intraguild predation with
memory-based diffusion. We first investigate the stability of two semi-trivial constant steady …

Local Perception and Learning Mechanisms in Resource-Consumer Dynamics

Q Shi, Y Song, H Wang - SIAM Journal on Applied Mathematics, 2024 - SIAM
Spatial memory is key in animal movement modeling, but it has been challenging to
explicitly model learning to describe memory acquisition. In this paper, we study novel …

[HTML][HTML] Bifurcation analysis of Leslie-Gower predator-prey system with harvesting and fear effect

R Yu, H Yu, C Dai, Z Ma, Q Wang… - Mathematical Biosciences …, 2023 - aimspress.com
In the paper, a Leslie-Gower predator-prey system with harvesting and fear effect is
considered. The existence and stability of all possible equilibrium points are analyzed. The …