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DYNAMICS OF A SINGLE SPECIES POPULATION IN A POLLUTED ENVIRONMENT  

Pal, A.K. (St. Thomas' College of Engineering & Technology)
Samanta, G.P. (Bengal Engineering and Science University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1185-1202 More about this Journal
Abstract
In this paper, we have studied the dynamical behaviour such as boundedness, local and global stabilities, bifurcation of a single species population affected by environmental toxicant and population toxicant. We have also studied the effect of discrete delay of the environmental toxicant on the instantaneous growth rates of the population biomass and population toxicant due to incubation period. The length of delay preserving the stability is also estimated. Computer simulations are carried out to illustrate our analytical findings.
Keywords
Single species; Environmental toxicant; Population toxicant; stability; Hopf bifurcation; time-delay;
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