Predator–prey system with strong Allee effect in prey

J Wang, J Shi, J Wei - Journal of Mathematical Biology, 2011 - Springer
Global bifurcation analysis of a class of general predator–prey models with a strong Allee
effect in prey population is given in details. We show the existence of a point-to-point …

Stability and bifurcation in a Leslie–Gower predator–prey model with Allee effect

Z Zhu, Y Chen, Z Li, F Chen - International Journal of Bifurcation and …, 2022 - World Scientific
In this paper, we consider a Leslie–Gower predator–prey model with Allee effect on the prey
and a linear functional response. Here the Allee effect impacts the birth rate of the prey …

A predator-prey system with generalized Holling type IV functional response and Allee effects in prey

A Arsie, C Kottegoda, C Shan - Journal of Differential Equations, 2022 - Elsevier
The transition between strong and weak Allee effects in prey provides a simple regime shift
in ecology. In this paper, we study the interplay between the functional response of Holling …

Bifurcation analysis of a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey

Z Shang, Y Qiao - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
In this paper, a Leslie-type predator–prey system with simplified Holling type IV functional
response and strong Allee effect on prey is proposed. The dissipativity of the system and the …

Rich global dynamics in a prey–predator model with Allee effect and density dependent death rate of predator

M Sen, M Banerjee - International Journal of Bifurcation and Chaos, 2015 - World Scientific
In this work we have considered a prey–predator model with strong Allee effect in the prey
growth function, Holling type-II functional response and density dependent death rate for …

[HTML][HTML] Dynamical complexities in the Leslie–Gower predator–prey model as consequences of the Allee effect on prey

E González-Olivares, J Mena-Lorca… - Applied Mathematical …, 2011 - Elsevier
This work deals with the analysis of a predator–prey model derived from the Leslie–Gower
type model, where the most common mathematical form to express the Allee effect in the …

Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior

Y Xu, Y Yang, F Meng, S Ruan - Nonlinear Analysis: Real World …, 2024 - Elsevier
In this paper, a Holling–Tanner predator–prey model with constant-yield prey harvesting and
anti-predator behavior is investigated. It is shown that the codimension of a nilpotent cusp is …

Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response

C Arancibia-Ibarra, P Aguirre, J Flores… - Applied Mathematics and …, 2021 - Elsevier
We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-
dependent functional response and show the existence and stability of two interior …

[HTML][HTML] Dynamics of a Leslie–Gower predator–prey model with additive Allee effect

Y Cai, C Zhao, W Wang, J Wang - Applied Mathematical Modelling, 2015 - Elsevier
In this paper, we investigate the complex dynamics of a Leslie–Gower predation model with
additive Allee effect on prey. Without Allee effect, the model has a unique globally …

Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator

D Sen, S Ghorai, S Sharma, M Banerjee - Applied Mathematical Modelling, 2021 - Elsevier
Prey-predator models with Allee effect have great importance in the context of ecology. Allee
effect refers to a positive relationship between population density and per capita growth rate …