Dynamics of a Leslie–Gower predator–prey model with Holling type II functional response, Allee effect and a generalist predator

C Arancibia–Ibarra, J Flores - Mathematics and Computers in Simulation, 2021 - Elsevier
A predator–prey model with functional response Holling type II, Allee effect in the prey and a
generalist predator is considered. It is shown that the model with strong Allee effect has at …

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 …

Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator

C Arancibia-Ibarra, M Bode, J Flores, G Pettet… - … in Nonlinear Science …, 2021 - Elsevier
In this manuscript, we consider temporal and spatio-temporal modified Holling–Tanner
predator-prey models with predator-prey growth rate as a logistic type, Holling type II …

Dynamics of a modified Leslie-Gower predation model considering a generalist predator and the hyperbolic functional response

E González-Olivares, C Arancibia-Ibarra… - Mathematical …, 2019 - eprints.qut.edu.au
In the ecological literature, many models for the predator-prey interactions have been well
formulated but partially analyzed. Assuming this analysis to be true and complete, some …

[HTML][HTML] Bifurcation analysis in a Holling-Tanner predator-prey model with strong Allee effect

Y Liu, Z Li, M He - Mathematical Biosciences and Engineering, 2023 - aimspress.com
In this paper, we analyze the bifurcation of a Holling-Tanner predator-prey model with strong
Allee effect. We confirm that the degenerate equilibrium of system can be a cusp of …

Novel dynamics in an additional food provided predator-prey system with mutual interference

S Wickramasooriya, J Martin, A Banerjee… - arXiv preprint arXiv …, 2023 - arxiv.org
The provision of additional food (AF) sources to an introduced predator has been identified
as a mechanism to improve pest control. However, AF models with prey dependent …

Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey

Z Zhu, Y Chen, F Chen, Z Li - Journal of Biological Dynamics, 2023 - Taylor & Francis
In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an
opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined …

Bifurcation analysis within a modified May-Holling-Tanner Prey-Predator system via Allee effect and harvesting on predator

A Das, S Mandal, SK Roy - Numerical Algebra, Control and …, 2024 - aimsciences.org
In order to simulate predator expansion, this article integrates the Allee effect with
simultaneous harvesting in an investigation of a Holling-Tanner predator-prey system …

Una clase de modelo de depredación del tipo Leslie-Gower con respuesta funcional racional no monotónica y alimento alternativo para los depredadores

PCT Ruiz, LMG Berrío, E González - Selecciones Matemáticas, 2019 - dialnet.unirioja.es
Las interacciones entre dos especies son básicas en el estudio de cadenas alimentarias
complejas, en particular la relación entre los depredadores y sus presas. El análisis de …

[PDF][PDF] Global stability in a modified Leslie-Gower type predation model assuming mutual interference among generalist predators

E Gonzalez-Olivares, A Rojas-Palma - … Biosciences and Engineering, 2020 - aimspress.com
In the ecological literature, mutual interference (self-interference) or competition among
predators (CAP) to effect the harvesting of their prey has been modeled through different …