Analysis of a predator–prey model with modified Leslie–Gower and Holling-type II schemes with stochastic perturbation

C Ji, D Jiang, N Shi - Journal of Mathematical Analysis and Applications, 2009 - Elsevier
In this paper, we consider a predator–prey model with modified Leslie–Gower and Holling-
type II schemes with stochastic perturbation. We show there is a unique positive solution to …

Analysis of a predator–prey model with modified Leslie–Gower and Holling-type II schemes with time delay

AF Nindjin, MA Aziz-Alaoui, M Cadivel - Nonlinear Analysis: Real World …, 2006 - Elsevier
Two-dimensional delayed continuous time dynamical system modeling a predator–prey
food chain, and based on a modified version of Holling type-II scheme is investigated. By …

Dynamics of a three species food chain model with Crowley–Martin type functional response

RK Upadhyay, RK Naji - Chaos, solitons & fractals, 2009 - Elsevier
In this paper, a three species food chain model, consisting of a hybrid type of prey-
dependent and predator-dependent functional responses, is investigated analytically as well …

The dynamic complexity of a three species food chain model

S Lv, M Zhao - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, a three-species food chain model is analytically investigated on theories of
ecology and using numerical simulation. Bifurcation diagrams are obtained for biologically …

Limit cycle and numerical similations for small and large delays in a predator–prey model with modified Leslie–Gower and Holling-type II schemes

R Yafia, F El Adnani, HT Alaoui - Nonlinear Analysis: Real World …, 2008 - Elsevier
The model analyzed in this paper is based on the model set forth by [MA Aziz-Alaoui, M.
Daher Okiye, Boundedness and global stability for a predator–prey model with modified …

Chaos in a three-species food chain model with a Beddington–DeAngelis functional response

M Zhao, S Lv - Chaos, Solitons & Fractals, 2009 - Elsevier
This paper investigates a three-species food chain model with a Beddington–DeAngelis
functional response, both analytically and through numerical simulations. First the …

Biological control via “ecological” damping: an approach that attenuates non-target effects

RD Parshad, E Quansah, K Black… - Mathematical …, 2016 - Elsevier
In this work we develop and analyze a mathematical model of biological control to prevent or
attenuate the explosive increase of an invasive species population, that functions as a top …

Modelling Predator–Prey Interactions: A Trade-Off between Seasonality and Wind Speed

D Barman, RK Upadhyay - Mathematics, 2023 - mdpi.com
Predator–prey interactions do not solely depend on biotic factors: rather, they depend on
many other abiotic factors also. One such abiotic factor is wind speed, which can crucially …

Persistence and global stability in a delayed Leslie–Gower type three species food chain

AF Nindjin, MA Aziz-Alaoui - Journal of Mathematical Analysis and …, 2008 - Elsevier
Our investigation concerns the three-dimensional delayed continuous time dynamical
system which models a predator–prey food chain. This model is based on the Holling-type II …

Stability analysis of diffusive predator–prey model with modified Leslie–Gower and Holling-type III schemes

Y Tian, P Weng - Applied Mathematics and Computation, 2011 - Elsevier
The stability of a diffusive predator–prey model with modified Leslie–Gower and Holling-type
III schemes is investigated. A threshold property of the local stability is obtained for a …