Extinction in a nonautonomous system of Volterra integrodifferential equations

Volume 10, Issue 8, pp 4441--4450 http://dx.doi.org/10.22436/jnsa.010.08.36

Publication Date: August 27, 2017 Submission Date: January 15, 2017

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Authors

Meng Hu - School of mathematics and statistics, Anyang Normal University, Anyang Henan, 455000, China. Lili Wang - School of mathematics and statistics, Anyang Normal University, Anyang Henan, 455000, China.

Abstract

A nonautonomous system of Volterra integrodifferential equations is studied in this paper. It is shown that if the coefficients are continuous, bounded above and below by positive constants and satisfy certain inequalities, then one of the components will be driven to extinction while the other one will stabilize at the certain positive solution of a nonlinear single species model.

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ISRP Style

Meng Hu, Lili Wang, Extinction in a nonautonomous system of Volterra integrodifferential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4441--4450

AMA Style

Hu Meng, Wang Lili, Extinction in a nonautonomous system of Volterra integrodifferential equations. J. Nonlinear Sci. Appl. (2017); 10(8):4441--4450

Chicago/Turabian Style

Hu, Meng, Wang, Lili. "Extinction in a nonautonomous system of Volterra integrodifferential equations." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4441--4450

Keywords

Extinction
nonautonomous
Volterra integrodifferential equation
global attractivity.

MSC

92B05
34A34

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