Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are …
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 …
V Kumar, N Kumari - AIMS Math, 2020 - aimspress.com
In this article, we study the impact of fear on the dynamics of a three species food chain model. We propose a model with the assumption that the growth rate of intermediate …
A model of two competing predators sharing one prey in homogeneous environment with Holling type-II functional response is introduced. It is cast as a Kolmogorov-type system of …
H Guo, L Chen, X Song - Applied Mathematics and Computation, 2015 - Elsevier
A kind of consumer-resource system is proposed to describe the bidirectional interactions of the algae and the fish in an eutrophic water body. The dynamical properties of the proposed …
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 …
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 …
N Kumari - International Scholarly Research Notices, 2013 - Wiley Online Library
The complex dynamics of two types of tritrophic food chain model systems when the species undergo spatial movements, modeling two real situations of marine ecosystem, are …
RD Parshad, N Kumari, S Kouachi - Chaos, Solitons & Fractals, 2015 - Elsevier
Abstract In Aziz-Alaoui (2002) a three species ODE model, based on a modified Leslie– Gower scheme is investigated. It is shown that under certain restrictions on the parameter …