Global Stability of Seir-Sei Model of Malaria Transmission

“…According to the numerical simulation, peopleʼs immune status influences how they recover after being infected with the orthopoxvirus. Numerous mathematical models on infectious disease have been studied in order to gain a better understanding of the transmission dynamics and different techniques to controlling the endemic disease (see [9,[11][12][13][14][15][16][17] for examples).…”

Section: Introductionmentioning

confidence: 99%

Fractional order mathematical model of monkeypox transmission dynamics

et al. 2022

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In this paper, we present a deterministic mathematical model of monkeypox virus by using both classical and fractional-order differential equations. The model includes all of the possible interactions that contribute to disease spread in the population. We investigate the model’s stability results in the disease-free case when R 0 < 1. When R 0 < 1, we show that the model is stable, otherwise it is unstable. To obtain the best fit that describes the dynamics of this disease in Nigeria, the model is fitted using the nonlinear least square method on cumulative reported cases of monkeypox virus from Nigeria between January to December 2019. Furthermore, adequate conditions for the existence and uniqueness of the solution of the model have been proved. We run numerous simulations of the proposed monkeypox model with varied input parameters to investigate the intricate dynamics of monkeypox infection under the effect of various system input parameters. We investigate the system’s dynamical behavior to develop appropriate infection control policies. This allows the public to understand the significance of control parameters in the eradication of monkeypox in the population. Lowering the order of fractional derivatives has resulted in significant modifications. To the community’s policymakers, we offered numerous parameters for the control of monkeypox.

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Global Stability of Seir-Sei Model of Malaria Transmission

Cited by 7 publications

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A fractional-order mathematical model for malaria and COVID-19 co-infection dynamics

A fractional-order mathematical model for malaria and COVID-19 co-infection dynamics

SIRSi-vaccine dynamical model for the Covid-19 pandemic

Fractional order mathematical model of monkeypox transmission dynamics

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