Mathematical Modeling Of The Spread Of Vector Borne Diseases With Infuluence Of Vertical Transmission And Preventive Strategies:- Aja, Remigius O

ABSTRACT

This work is aimed at formulating a mathematical model ofthe spread ofvector-bome diseases with influence of vertical transmission and preventive strategies. Vector borne diseases are caused by viruses, bacteria, and parasites typically conveyed by mosquitoes. Certain illnesses transmitted by vectors include West Nile Virus, Malaria, Zika virus, Dengue fever, Rift valley fever, and Viral encephalitisinduced by pathogens like bacteria, viruses, and parasites. The positive solutions ofthe model are presented and the theory of basic reproduction number (Ro) was used to study the model dynamical behaviour. When(Ro) reduces; the diseases are wiped out ofthe population with time and vice versa. The disease free and endemic equilibria states of the model were determined and investigated to be locally and globally stable.We incorporated the use of Insecticide — Treated Nets (ITN), Indoor Residual Sprayings (IRS) and condom usage as preventive measures in the presence of treatment. Numerical simulations show that complete intervention measures, that is, the use of ITN, IRS and condom usage while placing the infected on treatment have valuable impact on the spread of vector-bome diseases.