Abstract

This study of stability and optimal control has exhibited essential facts of the interaction of four host and three vector populations to determine the biological viability of the proposed dengue virus transmission model. This presents a sensitivity analysis of the threshold parameter value R 0 and conditions determining the persistence of the disease. The local and global stability analysis is performed using the threshold parameter on disease-free and endemic equilibrium points. The analytical solution shows its optimal effect on the spread of the disease and is supported by numerical simulations, which recommend implementing appropriate control measures to stop the dengue virus from transmitting from infected mosquitoes to humans. The model validation is carried out using actual infected human cases, and the suggested model shows strong agreement with the observed data, highlighting its accuracy and dependability. This analysis could prove crucial for health authorities trying to stop the spread of dengue fever.

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