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Qualitative Analysis and Optimal Control Strategy of an SIR Model with Saturated Incidence and Treatment. (arXiv:1807.05954v1 [math.DS])
来源于:arXiv
This paper deals with an SIR model with saturated incidence rate affected by
inhibitory effect and saturated treatment function. Two control functions have
been used, one for vaccinating the susceptible population and other for the
treatment control of infected population. We have analysed the existence and
stability of equilibrium points and investigated the transcritical and backward
bifurcation. The stability analysis of non-hyperbolic equilibrium point has
been performed by using Centre manifold theory. The Pontryagin's maximum
principle has been used to characterize the optimal control whose numerical
results show the positive impact of two controls mentioned above for
controlling the disease. Efficiency analysis is also done to determine the best
control strategy among vaccination and treatment. 查看全文>>