Stability Analysis of Multi-Infections (Malaria, Zika-Virus and Elephantiasis) Model
John Amoah-Mensah, Isaac K. Dontwi, Ebenezer Bonyah
Journal of Advances in Mathematics and Computer Science · pp. 1–25 · Published 14 Jan 2019
10.9734/JAMCS/2019/46180Abstract
The paper presents a multi-infections system model to study the transmission dynamics of Malaria, Zika-Virus and Elephantiasis in an endemic region such as Kedougou in the Southeastern part of Senegal and other parts of the world where it is possible to have multi-infections of the three diseases simultaneously. We performed the disease-free equilibrium and it is shown to be globally asymptotically stable when the associated threshold known as the basic reproduction number for the model is less than unity. Investigation on the existence and stability of equilibria is also performed, the model is found to exhibit backward bifurcation so that for less than unity is not sufficient to eradicate the disease from the population and there is the need to lower below a certain threshold for effective disease control. Sensitivity analysis is performed to determine parameters that have high influence on the basic reproduction number.
Cited by 2
T. Oluwafemi, E. Azuaba, Y. Kura · Asian Research Journal of Mathematics · 2020
D. Taylor, Bstract, .. Zika · 2021
Related research
- Mathematical Model of Malaria for Co-infection of Plasmodium vivax and Plasmodium falciparum in India — shares topic coverage
- Genotype x Environment Interaction and Stability Analysis in Maize across the Southern Aravalli Ranges of Rajasthan — shares topic coverage
- On the Dynamics of an Epidemic Model with Multiple Transmission Ways and Pollution — shares topic coverage
- Active-reactive Power Stability Analysis a Micro Grid in Grid to Connected Mode Based on Particle Swarm Optimization (PSO) Including Model Information — shares topic coverage
- A SEIR-SEI Malaria Transmission Model with Optimal Control — shares topic coverage
Article metrics
Real usage data collected on this platform.
18
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.