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Journal of Applied Mathematics and Computing

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01.10.2012 | Applied mathematics

Dynamics of the genic mutational rate on a population system with birth pulse and impulsive input toxins in polluted environment

verfasst von: Jianjun Jiao, Shaohong Cai, Lansun Chen

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2012

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Abstract

In this paper, we consider the genic mutation on an impulsive population system in polluted environment. All solutions of the investigated system are proved to be uniformly bounded. Using mathematical analysis methods, the conditions of the globally asymptotically stable population-extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is carried out illustrate our results. Our results provide reliable tactic basis for the practical biological resource management in polluted environment.

Vorheriger Artikel Quadratic-mean pseudo almost periodic solutions to some stochastic differential equations in a Hilbert space

Nächster Artikel An impulsive controlled eco-epidemic model with disease in the prey

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Titel: Dynamics of the genic mutational rate on a population system with birth pulse and impulsive input toxins in polluted environment
verfasst von: Jianjun Jiao
Shaohong Cai
Lansun Chen
Publikationsdatum: 01.10.2012
Verlag: Springer-Verlag
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2012
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-012-0577-5

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