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 …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

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 …

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 …

Based on the mathematical model of a nonlinear finance system, a novel finance chaotic
system that generates mirror symmetric multiscroll chaotic attractors is proposed in this …

In this paper, dynamical complexities of a three species food chain model with Holling type
IV predator response is investigated analytically as well as numerically. The local and global …

This paper investigates a three-species food chain model with a Beddington–DeAngelis
functional response, both analytically and through numerical simulations. First the …

In this paper, on the basis of the theories and methods of ecology and ordinary differential
equation, an ecological model with an impulsive control strategy is established. By using the …

A Gauss type general prey–predator mathematical model is proposed and analysed to study
the effect of predation on two competing prey species. The growth rate and functional …