Onitilo S. A.1), Usman M. A.1), Daniel D. O.2)*, Odetunde O. S.1),
Ogunwobi Z. O.1),Hammed F. A.1),
Olubanwo O. O.1), Ajani A. S.1), Sanusi A. S.3), Haruna A. H.1)
1)Department of Mathematical Sciences, Olabisi Onabanjo University (Nigeria)
2)Department of Mathematics and Computer Science, Southwestern University (Nigeria)
3)Department of Plant Science, Olabisi Onabanjo University (Nigeria)
*Corresponding Author: deborah.daniel@mysun.edu.ng
https://doi.org/10.53656/nat2022-5.03
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.
Keywords: SEIR-SEI model; malaria; plasmodium; parasite; anopheles;
transmission mechanism; stability, reproduction number, endemic equilibrium
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