We use homotopy index and monotonicity techniques to study the connecting orbits of systems of two competing species equations with diffusion and large interaction. We also use earlier work of Zhitao Zhang and the author on the dynamics of this system
In this thesis we deal with mathematical models that illustrate the growth of two populations, which...
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with ...
We theoretically study the dynamics of two interacting microbial species in the chemostat. These spe...
summary:Two species of animals are competing in the same environment. Under what conditions do they ...
A two-species Lotka-Volterra competition-diffusion model with spatially inhomogeneous reaction tenns...
In this paper we consider the situation of two species of predators competing for one species of pr...
Reaction-diffusion systems with strong interaction terms appear in many multi-species physical prob...
AbstractA two-species Lotka–Volterra competition–diffusion model with spatially inhomogeneous reacti...
[[abstract]]To understand the spreading and interaction of two-competing species, we study the dynam...
The shadow system [snip] is a scalar reaction diffusion equation coupled with an ODE. The extra free...
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with a...
AbstractThe shadow system \begin{align}u_t= & \varepsilon ^2u_{xx}+f(u)-\xi ,\\ \xi = & \int^{}_{I} ...
We study the large-interaction limit of an elliptic system modelling the steady states of two speci...
Abstract. This paper is concerned with some nonlinear evolution equations governed by tow competitiv...
AbstractThe coexistence and stability of the population densities of two competing species in a boun...
In this thesis we deal with mathematical models that illustrate the growth of two populations, which...
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with ...
We theoretically study the dynamics of two interacting microbial species in the chemostat. These spe...
summary:Two species of animals are competing in the same environment. Under what conditions do they ...
A two-species Lotka-Volterra competition-diffusion model with spatially inhomogeneous reaction tenns...
In this paper we consider the situation of two species of predators competing for one species of pr...
Reaction-diffusion systems with strong interaction terms appear in many multi-species physical prob...
AbstractA two-species Lotka–Volterra competition–diffusion model with spatially inhomogeneous reacti...
[[abstract]]To understand the spreading and interaction of two-competing species, we study the dynam...
The shadow system [snip] is a scalar reaction diffusion equation coupled with an ODE. The extra free...
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with a...
AbstractThe shadow system \begin{align}u_t= & \varepsilon ^2u_{xx}+f(u)-\xi ,\\ \xi = & \int^{}_{I} ...
We study the large-interaction limit of an elliptic system modelling the steady states of two speci...
Abstract. This paper is concerned with some nonlinear evolution equations governed by tow competitiv...
AbstractThe coexistence and stability of the population densities of two competing species in a boun...
In this thesis we deal with mathematical models that illustrate the growth of two populations, which...
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with ...
We theoretically study the dynamics of two interacting microbial species in the chemostat. These spe...