dc.contributor.author | Jian, Jun He | |
dc.contributor.author | Abeer, Aljohani | |
dc.contributor.author | Shahbaz, Mustafa | |
dc.contributor.author | Ali, Shokri | |
dc.contributor.author | Khalsaraei, Mohammad Mehdizadeh | |
dc.contributor.author | Mukalazi, Herbert | |
dc.date.accessioned | 2024-08-02T07:07:45Z | |
dc.date.available | 2024-08-02T07:07:45Z | |
dc.date.issued | 2024-07-29 | |
dc.identifier.citation | He, J. J., Aljohani, A., Mustafa, S., Shokri, A., Khalsaraei, M. M., & Mukalazi, H. (2024). Stability analysis of a nonlinear malaria transmission epidemic model using an effective numerical scheme. Scientific Reports, 14(1), 17413. | en_US |
dc.identifier.uri | https://doi.org/10.1038/s41598-024-66503-1 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12504/2005 | |
dc.description.abstract | Malaria is a fever condition that results from Plasmodium parasites, which are transferred to humans
by the attacks of infected female Anopheles mosquitos. The deterministic compartmental model was
examined using stability theory of differential equations. The reproduction number was obtained to
be asymptotically stable conditions for the disease-free, and the endemic equilibria were determined.
More so, the qualitatively evaluated model incorporates time-dependent variable controls which was
aimed at reducing the proliferation of malaria disease. The reproduction number R (o) was determined
to be an asymptotically stable condition for disease free and endemic equilibria. In this paper, we
used various schemes such as Runge–Kutta order 4 (RK-4) and non-standard finite difference (NSFD).
All of the schemes produce different results, but the most appropriate scheme is NSFD. This is true
for all step sizes. Various criteria are used in the NSFD scheme to assess the local and global stability
of disease-free and endemic equilibrium points. The Routh–Hurwitz condition is used to validate the
local stability and Lyapunov stability theorem is used to prove the global asymptotic stability. Global
asymptotic stability is proven for the disease-free equilibrium when R0 ≤ 1. The endemic equilibrium
is investigated for stability when R0 ≥ 1. All of the aforementioned schemes and their effects are also
numerically demonstrated. The comparative analysis demonstrates that NSFD is superior in every way
for the analysis of deterministic epidemic models. The theoretical effects and numerical simulations
provided in this text may be used to predict the spread of infectious diseases. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Scientific Reports | en_US |
dc.subject | Malaria disease | en_US |
dc.subject | Reproduction number | en_US |
dc.subject | Local and global stability | en_US |
dc.subject | Numerical schemes | en_US |
dc.title | Stability analysis of a nonlinear malaria transmission epidemic model using an effective numerical scheme | en_US |
dc.type | Article | en_US |