Analysis of nonautonomous two species system in a polluted environment

Year, pages: 2012, 567 - 586

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.

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

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