Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes

MA Aziz-Alaoui, MD Okiye - Applied Mathematics Letters, 2003 - Elsevier
We present a two-dimensional continuous time dynamical system modeling a predator-prey
food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling …

Study of a Leslie–Gower-type tritrophic population model

MA Aziz-Alaoui - Chaos, Solitons & Fractals, 2002 - Elsevier
A three-dimensional continuous time dynamical system is considered. It is a model for a
tritrophic food chain, based on a modified version of the Leslie–Gower scheme. We …

Spatial patterns through diffusion-driven instability in modified predator–prey models with chaotic behaviors

KM Owolabi, S Jain - Chaos, Solitons & Fractals, 2023 - Elsevier
Understanding the connection between spatial patterns in population densities and
ecological heterogeneity is significant to the understanding of population dynamics and the …

A stochastic hierarchical population system: excitement, extinction and transition to chaos

I Bashkirtseva, T Perevalova… - International Journal of …, 2021 - World Scientific
A problem of the mathematical modeling and analysis of noise-induced transformations of
complex oscillatory regimes in hierarchical population systems is considered. As a key …

Dynamic behaviour of a delayed predator–prey model with harvesting

TK Kar, A Ghorai - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, we analyze the dynamics of a delayed predator–prey system in the presence
of harvesting. This is a modified version of the Leslie–Gower and Holling-type II scheme …

[图书][B] Introduction to mathematical modeling and chaotic dynamics

RK Upadhyay, SRK Iyengar - 2013 - books.google.com
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical
models in natural systems, particularly ecological systems. Most of the models presented are …

Dynamic behaviors of the periodic predator–prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect

X Song, Y Li - Nonlinear Analysis: Real World Applications, 2008 - Elsevier
In this paper, a predator–prey system which based on a modified version of the Leslie–
Gower scheme and Holling-type II scheme with impulsive effect are investigated, where all …

Spatiotemporal dynamics of a Leslie–Gower predator–prey model incorporating a prey refuge

X Guan, W Wang, Y Cai - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
In this paper, we investigate the spatiotemporal dynamics of a two-dimensional predator–
prey model, which is based on a modified version of the Leslie–Gower scheme …

Controlling chaos and pattern formation study in a tritrophic food chain model with cannibalistic intermediate predator

N Kumari, V Kumar - The European Physical Journal Plus, 2022 - Springer
The present study constitutes the first systematic investigation on the effect of cannibalism on
a mid-level predator in a tritrophic food chain model. Moreover, it discusses the role of …

A “Double” fear effect in a tri-trophic food chain model

H Verma, K Antwi-Fordjour, M Hossain, N Pal… - The European Physical …, 2021 - Springer
Fear of predators as an indirect effect of predation is a well-observed phenomenon in
natural predator–prey communities. After being popularized by Wang et al. in 2016 (J. Math …