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Analysis of nonautonomous two species system in a polluted environment

In: Mathematica Slovaca, vol. 62, no. 3
G. P. Samanta
Detaily:
Rok, strany: 2012, 567 - 586
Kľúčové slová:
Lotka-Volterra model, toxicant, permanence, Lyapunov function, stability
O článku:
In this paper, a two-species nonautonomous Lotka-Volterra model of population growth in a polluted environment is proposed. Global asymptotic behaviour of this model by constructing suitable bounded functions has been investigated. It is proved that each population for competition, predation and cooperation systems respectively is uniformly persistent (permanent) under appropriate conditions. Sufficient conditions are derived to confirm that if each of competition, predation and cooperation systems respectively admits a positive periodic solution, then it is globally asymptotically stable.
Ako citovať:
ISO 690:
Samanta, G. 2012. Analysis of nonautonomous two species system in a polluted environment. In Mathematica Slovaca, vol. 62, no.3, pp. 567-586. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0031-z

APA:
Samanta, G. (2012). Analysis of nonautonomous two species system in a polluted environment. Mathematica Slovaca, 62(3), 567-586. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0031-z
O vydaní: