Application of Laplace-Adomian Decomposition Method (LADM) to Solving Zika Virus Model with Vector Control
Abstract
The emergence and spread of vector-borne diseases pose significant public health challenges worldwide, especially in regions where its primary vector, the Aedes aegypti mosquito, thrives. Zika virus (ZIKV) infection represents a pressing concern due to its potential for severe neurological complications and adverse pregnancy outcomes. Effective control strategies are imperative to mitigate ZIKV transmission and reduce the burden of disease. This study explores the application of the Laplace-Adomian Decomposition Method (LADM) to solve a mathematical model describing the dynamics of Zika virus transmission with vector control interventions. The Laplace-Adomian Decomposition Method (LADM) is used to numerically solve a Zika virus model incorporating vector control through Wolbachia-infected mosquitoes. This method allows for efficient and accurate computation of solutions, enabling insights into the impact of Wolbachia on reducing mosquito populations and controlling Zika transmission. The total population is dividing into three subpopulations: humans, Aedes aegypti mosquitoes, Wolbachia-infected mosquitoes and each of these subpopulations are further divided into epidemiological compartments. Advantages of the method over other numerical methods are clearly stated. Our findings demonstrate the effectiveness of the method and Wolbachia as a vector control measure. It also provides valuable insights for policymakers and public health authorities.
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References
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