## Differential and Integral Equations

### Positive solutions to a system of periodic parabolic partial differential equations

#### Abstract

We use the methods of [24, 15] to provide an extension of results presented in [7, 16, 24] to derive existence of positive solutions to a general system of periodic parabolic equations which arise in the study of population dynamics. We will consider the following system with mixed boundary conditions. \begin{align} u_t(x,t)-d_1(x,t)\Delta u(x,t)&= u(x,t)M(x,t,u,v) \\ v_t(x,t)-d_2(x,t)\Delta v(x,t)&= v(x,t)N(x,t,u,v). \end{align}

#### Article information

Source
Differential Integral Equations, Volume 9, Number 3 (1996), 607-618.

Dates
First available in Project Euclid: 7 May 2013