Abstract
Abstract We discussed stability analysis of susceptible-exposed-infectious-removed (SEIR) model for malaria disease through fractional order and check that malaria is epidemic or endemic in Khyber Pakhtunkhwa (Pakistan). We show that the model has two types of equilibrium points and check their stability through Routh-Hurwitz criterion. We find basic reproductive number using next-generation method. Finally, numerical simulations are also presented.
Highlights
Malaria is an infectious disease having large economic and health impact on society
Malaria is an infectious disease caused by the plasmodium parasite and transmitted between humans through the bite of the female Anopheles mosquito
We check whether the malaria disease is epidemic or endemic in Khyber Pakhtunkhwa (KP, Pakistan)
Summary
Malaria is an infectious disease having large economic and health impact on society. Malaria disease is interrogated for several years but still it is a serious health problem in many countries of the world [1]. Malaria is an infectious disease caused by the plasmodium parasite and transmitted between humans through the bite of the female Anopheles mosquito. There are four types of plasmodium parasite which infect humans, namely, Plasmodium falciparum, Plasmodium vivax, Plasmodium malariae and Plasmodium ovale [2]. In the early twentieth century, mathematical models play important role in the study of analyzing the spread of infectious disease [3]. The rest of the paper is arranged as follows: in Section 2, the model derivation is given.
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