Permanence and almost periodic solutions for an n-species Lotka–Volterra food chain system on time scales-Reference-Cited by-同舟云学术

Permanence and almost periodic solutions for an n-species Lotka–Volterra food chain system on time scales

Published:2015-06 Issue:02 Volume:08 Page:1550027
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Liao Qingshui¹²,Li Bing¹,Li Yongkun¹

Affiliation:

1. Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P. R. China

2. Department of Computer Science, Fujian Normal University Minnan Science and Technology Institute, Quanzhou, Fujian 362332, P. R. China

Abstract

By applying differential inequalities on time scales and the Lyapunov function method, we obtain some sufficient conditions which guarantee the permanence and the existence of an unique uniformly asymptotically stable almost periodic solution of an n-species Lotka–Volterra unidirectional food chain system on time scales.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557115500278

Reference20 articles.

1. A food chain system with Holling type IV functional response and impulsive perturbations

2. Pest management of two non-interacting pests in presence of common predator

3. Dynamic Equations on Time Scales

4. Permanence of a discrete n-species food-chain system with time delays

5. Dynamics of a class of non-autonomous systems of two non-interacting preys with common predator

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