This review summarizes all known results (up to this date) about methods of integration of
the classical Lotka–Volterra systems with diffusion and presents a wide range of exact …

We study a predator–prey model with two alien predators and one aborigine prey in which
the net growth rates of both predators are negative. We characterize the invading speed of …

From the viewpoint of competitor-mediated coexistence, it is important to study the influence
of an exotic species on other native species in terms of exogenous effects, in general, exotic …

In this paper, we study the minimal speed of traveling wave solutions for a diffusive three
species competition system. Our main concern is the linear determinacy for the minimal …

New classes of conditionally integrable systems of nonlinear reaction–diffusion equations
are introduced. They are obtained by extending a well-known nonclassical symmetry of a …

The diffusive Lotka–Volterra system arising in an enormous number of mathematical models
in biology, physics, ecology, chemistry and society is under study. New Q-conditional …

Competition stems from the fact that resources are limited. When multiple competitive
species are involved with spatial diffusion, the dynamics becomes even complex and …

Understanding how patterns and travelling waves form in chemical and biological reaction–
diffusion models is an area which has been widely researched, yet is still experiencing fast …

In this work, we consider an ecological system of three species with two predators-one prey
type without or with diffusion. For the system without diffusion, ie a system of three ODEs, we …

This paper is concerned with the existence of traveling front solutions for competitive–
cooperative Lotka–Volterra systems of three species. By converting the system into a …