Persistence in Non-Autonomous Lotka-Volterra System with Predator-Prey Ratio-Dependence and Density Dependence - Applied Mathematics

AM > Vol.2 No.9, September 2011

Applied Mathematics

Volume 2, Issue 9 (September 2011)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Persistence in Non-Autonomous Lotka-Volterra System with Predator-Prey Ratio-Dependence and Density Dependence ()

Download as PDF (Size: 345KB) PP. 1148-1153

DOI: 10.4236/am.2011.29159 3,755 Downloads 7,560 Views Citations

Author(s)

Haiyin Li

Affiliation(s)

ABSTRACT

The main purpose of this article is considering the persistence non-autonomous Lotka-Volterra system with predator-prey ratio-dependence and density dependence. We get the sufficient conditions of persistence of system, further have the necessary conditions, also the uniform persistence condition, which can be easily checked for the model is obtained.

KEYWORDS

Uniform Persistence, Density Dependent Predator, Ratio-Dependent, Non-Autonomous Lotka-Volterra System

Share and Cite:

H. Li, "Persistence in Non-Autonomous Lotka-Volterra System with Predator-Prey Ratio-Dependence and Density Dependence," Applied Mathematics, Vol. 2 No. 9, 2011, pp. 1148-1153. doi: 10.4236/am.2011.29159.

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