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Effect of Delay on Single Population with Infection in Polluted Environment
Abstract
In this paper, we have studied mathematical model for single-species population which is infected by viral disease under the influence of polluted environment. We consider that the population is divided into two classes i.e., susceptible and infective. The boundedness of the system is discussed. The existence of equilibrium points and their local stability is analyzed. Further, we have also studied the existence of Hopf-bifurcation. We have derived a threshold T10 below which the positive equilibrium point is locally asymptotically stable and at T10, it undergoes Hopf bifurcation. Finally, we verified the theoretical results with the help of numerical simulations.
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