Simple Mathematical Model for Malaria Transmission
Mojeeb AL-Rahman EL-Nor Osman, Isaac Kwasi Adu
Journal of Advances in Mathematics and Computer Science · pp. 1–24 · Published 18 Dec 2017
10.9734/JAMCS/2017/37843Abstract
Our model is made up of two sections: In the first section, we study a simple SEIR model, estimated the reproduction number, discussed the disease-free and endemic equilibria using the Routh-Hurwitz criterion and second additive compound matrix respectively. A global stability of disease-free and the endemic equilibria was performed using Lasselle’s invariance principle of Lyapunov functions. In the second section of our model, we considered SEIR-SEI model of malaria transmission between humans and mosquitoes. We estimated the reproduction number and discussed the stability of the disease-free and endemic equilibria. The disease-free equilibrium was locally asymptotically stable if the reproduction number is less than one and unstable if the reproduction number is greater than one in both models. Numerical simulations were conducted using Matlab software to confirm our analytic results. Our findings were that, Malaria may be controlled by reducing the contact rate between human and mosquito, the use of active malaria drugs, insecticides and mosquito treated nets can also help to reduce mosquitoes population and malaria transmission respectively.
Cited by 20
Abdisa Shiferaw Melese, Oluwole Daniel Makinde, Legesse Lemecha Obsu · Mathematical Biosciences and Engineering · 2022
Dereje Gutema Edossa, Alemu Geleta Wedajo, Purnachandra Rao Koya · Computational and Mathematical Methods in Medicine · 2023
Temesgen Duressa Keno, Lemesa Bedjisa Dano, Gamachu Adugna Ganati · Journal of Mathematics · 2022
Payal Singh, Bhumi Gor, Kamal Hossain Gazi · Results in Control and Optimization · 2023
Joel N. Ndam, Patricia O. Azike · Scientific African · 2024
TEMESGEN DURESSA KENO, OLUWOLE DANIEL MAKINDE, LEGESSE LEMECHA OBSU · Journal of Biological Systems · 2021
Agnes Adom-Konadu, Albert Lanor Sackitey, Joshua Kiddy K. Asamoah · Franklin Open · 2025
S. Olaniyi, K. O. Okosun, S. O. Adesanya · Journal of Biological Dynamics · 2020
Jian Jun He, Abeer Aljohani, Shahbaz Mustafa · Scientific Reports · 2024
Nauman Ahmed, Jorge E. Macías-Díaz, Ali Raza · Axioms · 2021
Related research
- Modeling the Effect of Natural Substances and Antibiotics Concentrations on the Variation of Inhibition Zone Diameter in Disc Diffusion Susceptibility Test — shares topic coverage
- Effect of Control on the Mathematical Model of Hepatitis B Virus with Infective Migrant — shares topic coverage
- Deterministic Mathematical Model for Dynamics of Water Borne Diseases — shares topic coverage
- A Novel Compartmental Model for Analysis and Projection of COVID-19 Dynamics in Bangladesh — shares topic coverage
- The Mathematical Model of Self-oscillations of Kai Proteins in Incubation Solution — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
20
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
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.