On the nonautonomous N-competing species problems

Publisher Website
Google Scholar
Abstract
We consider a nonautonomous system of ordinary differential equations which models competition among n species. Conditions are given under which there exists a unique solution with components bounded above and below by positive constants on (-∞, ∞) and which attracts all other solutions with positive components. In the case where this system is periodic or almost periodic in time, this unique solution is periodic or almost periodic. Our proofs make use of a combination of techniques from [6] and [8] and improve the results of these papers. An example is given to illustrate this improvement and another example shows that certain conditions which imply existence do not imply the conditions guaranteeing uniqueness and stability.

This publication has 6 references indexed in Scilit: