Qualitative Analysis and Dynamical Behavior of a Lassa Haemorrhagic Fever Model with Exposed Rodents and Saturated Incidence Rate

Loyinmi, Adedapo Chris; Akinfe, Timilehin Kingsley; OJO, ABISOYE ABIODUN

doi:10.21203/rs.3.rs-33293/v1

Cited by 2 publications

(1 citation statement)

References 4 publications

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“…To demonstrate the model's epidemiological viability, among other things, disease-free equilibrium, the endemic equilibrium, local and global stability, positivity, and boundedness were established. In order to understand the dynamics of the disease's transmission and its long-term repercussions, 50 created a novel deterministic model of Lassa Hemorrhagic fever (LHF) with nonlinear force of infection. The Cauchy's differential theorem, Birkhoff & Rota's theorem, and other well-known approaches used in the qualitative studies of the model both confirm and make clear how well-posed it is.…”

Section: Revised Amendments From Versionmentioning

confidence: 99%

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Abiodun

Adebimpe²,

Ndako³

et al. 2023

F1000Res

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Background: Since the early 1980s, human immunodeficiency virus (HIV) and its accompanying acquired immunodeficiency syndrome (AIDS) have spread worldwide, becoming one of the world's major global health issues. From the beginning of the epidemic until 2020, about 79.3 million people became infected, with 36.3 million deaths due to AIDS illnesses. This huge figure is a result of those unaware of their status due to stigmatization and invariably spreading the virus unknowingly. Methods: Qualitative analysis through a mathematical model that will address HIV unaware individuals and the effect of an increasing defaulter on the dynamics of HIV/AIDS was investigated. The impact of treatment and the effect of inefficient follow-up on the transmission of HIV/AIDS were examined. The threshold for the effective reduction of the unaware status of HIV through testing, in response to awareness, and the significance of effective non-defaulting in treatment commonly called defaulters loss to follow-up as these individuals contribute immensely to the spread of the virus due to their increase in CD4+ count was determined in this study. Stability analysis of equilibrium points is performed using the basic reproduction number $R_0$, an epidemiological threshold that determines disease eradication or persistence in viral populations. We tested the most sensitive parameters in the basic reproduction numbers. Results: The results portray that early identification and treatment only are inadequate for the illness to be eradicated, but effectively used of condom, strict adherence to treatment and counseling of and testing of pregnant women contribute to a decrease in infected HIV individuals. Conclusions: Other control techniques, such as treatment adherence and effective condom usage, and reduction in vertical transmission cannot be over-emphasis to lessen the disease's burden. Policymakers must address these strategies through a series of public awareness campaigns about the dangers of not adhering to treatment procedures and patterns.

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Section: Revised Amendments From Versionmentioning

confidence: 99%

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Abiodun

Adebimpe²,

Ndako³

et al. 2023

F1000Res

View full text Add to dashboard Cite

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Modeling the dynamics of Lassa fever in Nigeria

et al. 2021

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Lassa fever is a zoonotic disease spread by infected rodents known as multimammate rats. The disease has posed a significant and major health challenge in West African countries, including Nigeria. To have a deeper understanding of Lassa fever epidemiology in Nigeria, we present a deterministic dynamical model to study its dynamical transmission behavior in the population. To mimic the disease’s biological history, we divide the population into two groups: humans and rodents. We established the quantity known as reproduction number $${\mathcal {R}}_{0}$$ R 0 . The results show that if $${\mathcal {R}}_{0} <1$$ R 0 < 1 then the system is stable, otherwise it is unstable. The model fitting was performed using the nonlinear least square method on cumulative reported cases from Nigeria between 2018 and 2020 to obtain the best fit that describes the dynamics of this disease in Nigeria. In addition, sensitivity analysis was performed, and the numerical solution of the system was derived using an iterative scheme, the fifth-order Runge–Kutta method. Using different numeric values for each parameter, we investigate the effect of all highest sensitivity indices’ parameters on the population of infected humans and infected rodents. Our findings indicate that any control strategies and methods that reduce rodent populations and the risk of transmission from rodents to humans and rodents would aid in the population’s control of Lassa fever.

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Qualitative Analysis and Dynamical Behavior of a Lassa Haemorrhagic Fever Model with Exposed Rodents and Saturated Incidence Rate

Cited by 2 publications

References 4 publications

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Modeling the dynamics of Lassa fever in Nigeria

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