A bifurcation study: effect of a toxicant on a biological species, emitted by itself in its own environment
In this paper, a model based on effect of toxicant on a biological species [1, chap. 2] is analyzed for the existence and nature of hopf-bifurcation. The biological population is logistically growing in its own environment and toxicant is being emitted by the population itself. The hopf-bifurcation analysis of model shows that when the emission rate of toxicant by the biological population increases in the environment, the density level of biological population decreases and after crossing a critical value of emission rate, the density of biological population starts oscillating and never settle down to its equilibrium level. The hopf-bifurcation analysis of model increases the validity of model. The dynamic behavior of the model for the emission rate of toxicant is described by providing numerical simulation
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