Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa

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.

Keywords

• seir model
• fractional order
• routh-hurwitz criterion
• next-generation method
• 92b15
• 92b05