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Dynamics of Zika Virus Model with Nonlinear Incidence and Optimal Control Strategies |
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PP: 969-982 |
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doi:10.18576/amis/120510
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Author(s) |
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Samson Olaniyi,
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Abstract |
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| We formulate and analyze Zika virus transmission model with three nonlinear forces of infection from infected mosquito,
asymptomatic and symptomatic humans. The sensitivity indexes of the associated parameters of the model with respect to the basic
reproduction number are calculated to identify intervention strategies for prevention and control of Zika virus. Multiple time-dependent
optimal controls are considered. The analysis based on the use of optimal control theory made popular by Pontryagin’s maximum
principle is carried out, and the resulting optimality system is quantitatively simulated to investigate the impact of the controls on the
dynamics of Zika virus. In addition, the effects of non-linearity of the forces of infection and other key parameters on the disease
transmission are illustrated. |
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