Mathematical Modelling of the Transmission Mechanism of Plamodium Falciparum
Mathematical Modelling of the Transmission Mechanism of Plamodium Falciparum
Author(s): Sefiu Onitilo, Mustapha Usman, Deborah Daniel, Olutunde Odetunde, Zacheous Ogunwobi, Fatai Hammed, O. Olubanwo, A. S. Ajani, A. S. Sanusi, Hammed HarunaSubject(s): Social Sciences, Education, School education, Adult Education, Higher Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: SEIR-SEI model; malaria; plasmodium; parasite; anopheles; transmission mechanism; stability; reproduction number; endemic equilibrium
Summary/Abstract: In this paper, a deterministic model SEIR-SEI model of malaria transmission consisting of systems of ordinary differential equations, describing the transmission of malaria between humans and female anopheles mosquitoes, the definitive hosts of Plasmodium parasites, is examined. The reproduction number is estimated and the model equilibria and their stabilities are discussed. The diseasefree equilibrium for the model is found to be locally asymptotically stable if the reproduction number is less than one and unstable if the reproduction number is greater than one. Numerical simulations are carried out to demonstrate the analytical results, and suggest that malaria can be controlled by reducing the contact rate between human and mosquito, the use of active malaria drugs, insecticides and the use of mosquito treated nets.
Journal: Обучение по природни науки и върхови технологии
- Issue Year: 31/2022
- Issue No: 5
- Page Range: 435-457
- Page Count: 23
- Language: English
- Content File-PDF