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.
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REMIGIUS, A (2025). Mathematical Modeling Of The Spread Of Vector Borne Diseases With Infuluence Of Vertical Transmission And Preventive Strategies:- Aja, Remigius O. Repository.mouau.edu.ng: Retrieved Dec 10, 2025, from https://repository.mouau.edu.ng/work/view/mathematical-modeling-of-the-spread-of-vector-borne-diseases-with-infuluence-of-vertical-transmission-and-preventive-strategies-aja-remigius-o-7-2
AJA, REMIGIUS. "Mathematical Modeling Of The Spread Of Vector Borne Diseases With Infuluence Of Vertical Transmission And Preventive Strategies:- Aja, Remigius O" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 09 Dec. 2025, https://repository.mouau.edu.ng/work/view/mathematical-modeling-of-the-spread-of-vector-borne-diseases-with-infuluence-of-vertical-transmission-and-preventive-strategies-aja-remigius-o-7-2. Accessed 10 Dec. 2025.
AJA, REMIGIUS. "Mathematical Modeling Of The Spread Of Vector Borne Diseases With Infuluence Of Vertical Transmission And Preventive Strategies:- Aja, Remigius O". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 09 Dec. 2025. Web. 10 Dec. 2025. < https://repository.mouau.edu.ng/work/view/mathematical-modeling-of-the-spread-of-vector-borne-diseases-with-infuluence-of-vertical-transmission-and-preventive-strategies-aja-remigius-o-7-2 >.
AJA, REMIGIUS. "Mathematical Modeling Of The Spread Of Vector Borne Diseases With Infuluence Of Vertical Transmission And Preventive Strategies:- Aja, Remigius O" Repository.mouau.edu.ng (2025). Accessed 10 Dec. 2025. https://repository.mouau.edu.ng/work/view/mathematical-modeling-of-the-spread-of-vector-borne-diseases-with-infuluence-of-vertical-transmission-and-preventive-strategies-aja-remigius-o-7-2