A Mathematical Model of Tuberculosis with Drug Resistance Effects

Ronoh, Marilyn; Jaroudi, Rym; Fotso, Patrick; Kamdoum, Victor; Matendechere, Nancy; Wairimu, Josephine; Auma, Rose; Lugoye, Jonnes

doi:10.4236/am.2016.712115

Cited by 24 publications

(16 citation statements)

References 10 publications

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“…Household Size: Okoffo et al (2016) argue that a farmer with a larger household size will be more reluctant to spend his/her income on other things rather than using it in his household. However, Wairimu et al (2016) in relating to Abdulai et al (2008) revealed that households with large size have the numbers in terms of labor and therefore need more food hence will be willing to invest in agriculture. Concerning the inconsistency, this study hypothesizes household size to have both positive and negative influences on the growth of agriculture.…”

Section: Theoretical and Apriori Assumptionsmentioning

confidence: 99%

Nexus between Financial Inclusion, Gender and Agriculture Productivity in Ghana

Atakli¹,

Agbenyo²

2020

TEL

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The concept of infrastructure, education, availability, usage, affordability, inequality, and accessibility of funds remains useful in agricultural productivity. Nonetheless, the most instrumental challenge of rural farmers is the factors mentioned above, which hindered the growth of agricultural productivity over the years in Africa. As a result, this study examines the nexus between gender, financial inclusion, and Agriculture Productivity in Ghana. The study adopted a cross-sectional research design with secondary data sources from the Ghana Living Statistical Survey 7. Data were analyzed using STATA version 15. The objective of the study was analyzed using the ordinary least square method. The study revealed that financial inclusion has a significant positive relationship with agricultural productivity. Also, factors such as age, farm size, household size, ownership of land have a positive impact on agricultural productivity coupled with the low level of education. Results indicate that farm size, equipment ownership, expenditure on inputs, age, marital status, land ownership, household size, and education level are determinants of agricultural productivity. The paper revealed that male farmers are more financially inclusive than their female counterparts. As a result, the study concluded that there are strong links between gender, financial inclusion, and agricultural productivity. The government and other stakeholders in Ghana need legal and institutional transformations that will help meet the needs and constraints of females, especially in the rural communities, to broaden the scope of financial services hence making them financially inclusive.

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Section: Theoretical and Apriori Assumptionsmentioning

confidence: 99%

Nexus between Financial Inclusion, Gender and Agriculture Productivity in Ghana

Atakli¹,

Agbenyo²

2020

TEL

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“…The iterative scheme RK-4 is utilized to solve the system, while the simulation is conducted through the MATLAB software. The parameter values for simulations are either from Ronoh et al [34] or reasonably chosen estimates. To do this, consider the parametric values as follows: at the initial level not treated or recovered population is considered.…”

Section: Numerical Simulationmentioning

confidence: 99%

Stability analysis of a dynamical model of tuberculosis with incomplete treatment

et al. 2020

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A simple deterministic epidemic model for tuberculosis is addressed in this article. The impact of effective contact rate, treatment rate, and incomplete treatment versus efficient treatment is investigated. We also analyze the asymptotic behavior, spread, and possible eradication of the TB infection. It is observed that the disease transmission dynamics is characterized by the basic reproduction ratio $\Re _{0}$ ℜ 0 ; if $\Re _{0}<1$ ℜ 0 < 1 , there is only a disease-free equilibrium which is both locally and globally asymptotically stable. Moreover, for $\Re _{0}>1$ ℜ 0 > 1 , a unique positive endemic equilibrium exists which is globally asymptotically stable. The global stability of the equilibria is shown via Lyapunov function. It is also obtained that incomplete treatment of TB causes increase in disease infection while efficient treatment results in a reduction in TB. Finally, for the estimated parameters, some numerical simulations are performed to verify the analytical results. These numerical results indicate that decrease in the effective contact rate λ and increase in the treatment rate γ play a significant role in the TB infection control.

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“…Those who recover from MDR tuberculosis will move to the recovered cla. Given that there is no permanent immunity to tuberculosis, the recovered can lose their immunity and become susceptible again [4].…”

Section: Model Descriptionmentioning

confidence: 99%

Local Stability of the Effects of Early Detection and Treatment on the Dynamics of Tuberculosis Using Lyapunov Function Method

Andest

Kwanommu

Arisko

2019

MRJI

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This study aims to use Lyapunov function method to build a SEIR model in the analysis of early detection and treatment. The SEIR model is a system of ordinary differential equations of six dimension developed from our compartment then building a mathematical theorem which guarantees the existence of a case of TB, the disease free-equilibrium and the total eradication of the disease from its host community that is disease endemic TB. Three theorems were proved using Lyapunov function method. With these, we concluded that in this research work have given a complete stability analysis of a tuberculosis model with two differential infectivity classes of early detected infected individual and late detected infected individual. By analysing this model, we found that it is locally asymptotically stable and possesses the only locally stable equilibrium state depending on the basic reproductive ratio R0 this steady state is either the endemic or the disease-free. The local stability of the infection-free equilibrium state implies that for an initial level of infection the disease will eventually fade out from the population when the condition for the stability, number R0 ≤1, hold. The condition R0>1, implies that the disease will persist in a population.

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A Mathematical Model of Tuberculosis with Drug Resistance Effects

Cited by 24 publications

References 10 publications

Nexus between Financial Inclusion, Gender and Agriculture Productivity in Ghana

Nexus between Financial Inclusion, Gender and Agriculture Productivity in Ghana

Stability analysis of a dynamical model of tuberculosis with incomplete treatment

Local Stability of the Effects of Early Detection and Treatment on the Dynamics of Tuberculosis Using Lyapunov Function Method

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