Numerical Investigation of a Chlamydia Epidemic Model

Le résumé fourni par la source

In this article, we analysed the numerical study of five compartmental epidemic model with Chlamydia infection. The population is divided into five classes: susceptible, exposed, infected in the asymptomatic phase, infected in the symptomatic phase and recovered (SEIAISR). This model was shown to have two equilibrium points: a disease-free equilibrium and an endemic equilibrium. The local stability was defined using the computed effective reproduction number R0, as well as the sensitivity of variables. When R0 < 1, the disease-free equilibrium ( ) is locally asymptotically stable, and if R0 > 1, the endemic equilibrium ( ) is locally asymptotically stable. This model is solved numerically using three numerical techniques: forward Euler, RK-4, and proposed non-standard finite difference (NSFD) techniques. The (NSFD) technique becomes a more efficient and reliable numerical technique than the forward Euler and RK-4 techniques. The NSFD technique retains all essential characteristics of a continuous (SEIAISR) chlamydia epidemic model, like positivity and stability of equilibria. In contrast, well-known forward Euler and RK-4 techniques cannot sustain these characteristics. Furthermore, the NSFD technique is independent of time step size, while forward Euler and RK-4 depend on the time step size. The numerical simulations with a numerical test were represented to validate all the results.

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