Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology,
Second Edition presents both abstract and practical mathematical models of real biological …

Non-smooth dynamics induced by switches, impacts, sliding, and other abrupt changes are
pervasive in physics, biology, and engineering. Yet, systems with non-smooth dynamics …

Ecological system depends on prey predator interaction. Sometimes diseases are spread
among prey or predator or both species. In this paper, a disease control prey–predator …

We develop the averaging theory of first and second order for studying the periodic solutions
of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary …

This paper deals with the question of the determinacy of the maximum number of limit cycles
of some classes of planar discontinuous piecewise linear differential systems defined in two …

The main objective of this work is to develop, via Brower degree theory and regularization
theory, a variation of the classical averaging method for detecting limit cycles of certain …

Based on the integrated pest management strategy, we propose and analyze a Filippov
predator-prey model. Different from existing works, the feature of the model is that two …

This paper deals with the impact of fear in a fractional-order predator–prey model with
Holling type II functional response incorporating a constant prey refuge. Existence …

In this paper, a general Filippov-type predator-prey model with a refuge is presented. We
propose a discontinuous predator-prey model incorporating a threshold policy by extending …

This paper describes a prey–predator model with Holling type II functional response
incorporating prey refuge. The equilibria of the proposed system are determined and the …