Stability Analysis and Optimal Control of an Ecological Epidemic Model with Fear Effect
In this paper,we propose an ecological epidemiological model that considers the disease in prey population,incorporating the fear effect of predators on the prey.We assume that fear can decrease the reproductive rate and activity of the prey population,thus reducing the transmission rate of the disease.Firstly,we discuss the non-negativity and boundedness of the model solutions.Then,we investigate the existence and stability of non-negative equilibrium points.Finally,we discuss the optimal control problem for the model.
fear effectstabilityecological epidemic modeloptimal control
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