Mathematical Analysis of Rabies Infection

Bornaa, Christopher Saaha; Seidu, Baba; Daabo, Mohammed Ibrahim

doi:10.1155/2020/1804270

“…Also, sensitivity indices help to determine parameters that can be manipulated to achieve desired results. Since persistence of Cholera is represented by the existence of the endemic equilibrium point, we perform sensitivity analysis of the endemic equilibrium to small changes in model parameters using the normalized forward sensitivity index described in [25], [28]. The sensitivity indexes are evaluated at the baseline parameter values in Table presented in Table 1 and presented in Table 2.…”

Section: Sensitivity Analysis Of the Endemic Equilibriummentioning

confidence: 99%

Optimal Strategies for the Control of Cholera with Three Infection Routes

2022

MTM

0

View full text Add to dashboard Cite

Cholera is an acute intestinal infection and water borne disease that has claimed and continue to claim the lives of millions of people in the developing countries. Its effects on developing countries cannot be ignored since most of the people who get infected or die from the disease are usually children and adults who are in their economically active years. This paper presents an epidemic mathematical model that is aimed at describing the dynamics of the spread of Cholera. In this paper, infection of the disease is considered to be through contact with Infectives or vibrio cholerae in the dry lands and the water bodies. The model is qualitatively analyzed to determine conditions for successful fight against cholera. It is shown that if the basic reproduction number ℛ , is less than unity, then the disease-free equilibrium is locally asymptotically stable and the disease dies out and when the basic reproduction number is greater than unity, the vibrio cholerae and the disease will persist in the population. Numerical simulations are also carried out and various combinations of intervention strategies are compared to determine the most effective strategy that should be employed in order to control the spread of the v.cholerae. It is observed that the strategy that adopts education on open defecation, environmental sanitation and water treatment are the most effective strategies in the fight against the spread of the disease

show abstract

“…This paper looks at the effect of early interventions on the transmission dynamics of coronavirus infection by employing mathematical modelling. Several mathematical models have been used as an engine to unravel knowledge in many epidemiological studies [ Asamoah et al, 2017 , 2020a , 2020b ; Bornaa et al, 2017 , 2020 ; Seidu et al, 2020 ; Agusto et al, 2015 ; Ivorra Benjamin and Ramos, 2015 ]. Most of these studies have yielded exceptional results that transformed the lives of families, communities, nations and the entire globe.…”

Section: Introductionmentioning

confidence: 99%

Modeling the impact of early interventions on the transmission dynamics of coronavirus infection

Bornaa¹,

Seidu²,

Seini

³

2021

Self Cite

View full text Add to dashboard Cite

A deterministic model is proposed to describe the transmission dynamics of coronavirus infection with early interventions. Epidemiological studies have employed modeling to unravel knowledge that transformed the lives of families, communities, nations and the entire globe. The study established the stability of both disease free and endemic equilibria. Stability occurs when the reproduction number, R0, is less than unity for both disease free and endemic equilibrium points. The global stability of the disease-free equilibrium point of the model is established whenever the basic reproduction number R0 is less than or equal to unity. The reproduction number is also shown to be directly related to the transmission probability (β), rate at which latently infected individuals join the infected class (δ) and rate of recruitment (Λ). It is inversely related to natural death rate (μ), rate of early treatment (τ1), rate of hospitalization of infected individuals (θ) and Covid-induced death rate (σ). The analytical results established are confirmed by numerical simulation of the model.

show abstract

“…This paper looks at the effect of early interventions on the transmission dynamics of coronavirus infection by employing mathematical modelling. Several mathematical models have been used as an engine to unravel knowledge in many epidemiological studies [Asamoah et al, 2017[Asamoah et al, , 2020a[Asamoah et al, , 2020bBornaa et al, 2017Bornaa et al, , 2020Agusto et al, 2015;Ivorra Benjamin and Ramos, 2015]. Most of these studies have yielded exceptional results that transformed the lives of families, communities, nations and the entire globe.…”

Section: Introductionmentioning

confidence: 99%

Modeling the impact of early interventions on the transmission dynamics of coronavirus infection

Bornaa¹,

Seidu²,

Seini

³

2021

F1000Res

Self Cite

0

View full text Add to dashboard Cite

A deterministic model is proposed to describe the transmission dynamics of coronavirus infection with early interventions. Epidemiological studies have employed modeling to unravel knowledge that transformed the lives of families, communities, nations and the entire globe. The study established the stability of both disease free and endemic equilibria. Stability occurs when the reproduction number, R0, is less than unity for both disease free and endemic equilibrium points. The global stability of the disease-free equilibrium point of the model is established whenever the basic reproduction number R0 is less than or equal to unity. The reproduction number is also shown to be directly related to the transmission probability (β), rate at which latently infected individuals join the infected class (δ) and rate of recruitment (Λ). It is inversely related to natural death rate (μ), rate of early treatment (τ1), rate of hospitalization of infected individuals (θ) and Covid-induced death rate (σ). The analytical results established are confirmed by numerical simulation of the model.

show abstract

Mathematical Analysis of Rabies Infection

Cited by 16 publications

References 22 publications

Optimal Strategies for the Control of Cholera with Three Infection Routes

Optimal Strategies for the Control of Cholera with Three Infection Routes

Modeling the impact of early interventions on the transmission dynamics of coronavirus infection

Modeling the impact of early interventions on the transmission dynamics of coronavirus infection

Contact Info

Product

Resources

About