Existence of Positive Periodic Solutions forn-Dimensional Nonautonomous System

Existence of 2 n Positive Periodic Solutions to n - Species Nonautonomous Food Chains with Harvesting Terms

Existence of Positive Periodic Solutions for a Class of Nonautonomous Difference Equations

In this article, we investigate the existence of positive periodic solutions for a class of non-autonomous difference equations. Using the Krasnoselskii fixed point theorem, we establish sufficient criteria that are easily verifiable and that generalize and improve related studies in the literature. Numerical simulations are presented which support our theoretical results for some concrete models.

Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment

By using continuation theorem of coincidence degree theory, sufficient conditions of the existence of positive periodic solutions are obtained for a generalized predator-prey system with diffusion and delays. In this paper, we construct a V-function to make the prior estimation for periodic solutions, which makes the discussion more concise. Moreover, to compute the mapping’s topological degree...

Existence of positive periodic solutions for a periodic logistic equation

In this paper, we study a more generalized class of periodic logistic equations. By using the method of coincidence degree, a set of sufficient conditions is obtained for the existence of positive periodic solutions of the equations which are under the consideration. 2002 Elsevier Science Inc. All rights reserved.

Existence of multiple positive periodic solutions to n species nonautonomous Lotka - Volterra cooperative systems with harvesting terms

In this paper, the existence of 2 positive periodic solutions for n species non-autonomous Lotka-Volterra cooperative systems with harvesting terms is established by using Mawhin’s continuation theorem of coincidence degree theory and matrix inequality. An example is given to illustrate the effectiveness of our results. Keywords—Multiple positive periodic solutions; Nonautonomous Lotka-Volterra...