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Zika virus transmission dynamic model and its optimal control


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Zika virus transmission dynamic model and its optimal control
Ding Chunxiao12Zhu Yuanguo1
1.School of Sciences,Nanjing University of Science and Technology,Nanjing 210094,China; 2.School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China
Ziks virus models stability optimal control transmission dynamics
In order to investigate the transimission law of Zika virus,we construct a Zika virus transmission dynamics model with Logistic growth rate.The existence of the disease free equilibrium and endemic equilibrium of the model are proved.The basic reproduction number is calculated to demonstrate the threshold of the disease outbreak.Based on the model,we present the corresponding optimal control problem,propose the necessary condition for the existence of the solution,and obtain the optimal solution.Finally,numerical simulations of different control strategies give the effectiveness of the model and the rationality of control strategies.


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Last Update: 2016-06-30