The Mathematical Models of the Dynamical Behaviour of Tuberculosis Disease in the Upper East Region of the Northern Part of Ghana: A Case Study of Bawku

Adetunde, I. A.

doi:10.3923/crt.2009.15.20

Cited by 11 publications

(8 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…As developed by Allen [4], the stochastic model equations are given by ��⃗ = ⃗ (t, ⃗ (t)) + (t, ⃗ (t)) ��⃗ (t)…”

Section: The Stochastic Model Equationsmentioning

confidence: 99%

“…Typhoid is prevented through hygienic compliance, early administration of vaccine, accessibility to safe drinking water, treatment etc. Mathematical and stochastic models are good tools used in describing disease dynamics [4,11]. Several good, descriptive and predictive deterministic and stochastic models have been derived to depict typhoid disease transmission.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Effect of Vaccination, Screening and Treatment in Controlling Typhoid Fever Spread Dynamics: Deterministic and Stochastic Applications

Ogunlade¹,

Ogunmiloro²,

Ogunyebi³

et al. 2020

View full text Add to dashboard Cite

“…As developed by Allen [4], the stochastic model equations are given by ��⃗ = ⃗ (t, ⃗ (t)) + (t, ⃗ (t)) ��⃗ (t)…”

Section: The Stochastic Model Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Effect of Vaccination, Screening and Treatment in Controlling Typhoid Fever Spread Dynamics: Deterministic and Stochastic Applications

Ogunlade¹,

Ogunmiloro²,

Ogunyebi³

et al. 2020

View full text Add to dashboard Cite

“…Tuberculosis is the deadly diseases in developing countries, globally it causes many death than other diseases including Malaria, Schistosomiasis, HIV, Typhoid fever [1].…”

Section: General Introductionmentioning

confidence: 99%

Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium

Mwenyeheri¹,

Shaban²,

Hove-Msekwa³

et al. 2014

JTR

View full text Add to dashboard Cite

A mathematical model incorporating animal TB and Human TB transmission is formulated and analysed in order to determine the role of animal TB and human TB in the overall TB transmission and also, to determine the parameters which govern the transmission of the TB disease. The model has five classes namely susceptible, exposed animal TB, and exposed human TB, infectious and recovery. The model assumed that there are two classes for infected individuals, those who acquired TB through animal and those who acquire TB from human. Qualitative results show that the model has the disease-free equilibrium and at least one endemic equilibrium that is locally asymptotically stable. The study includes numerical simulations as a way of supporting the analytical results. Graphical results indicate that animal TB has major contribution on overall TB transmission and the TB transmission can be reduced by ensuring intervention to both Animal TB and Human TB. Furthermore the equations indicate that there is at least one endemic equilibrium which translates that t animal and human have the contribution on TB transmission. This shows that both animals and humans together with fast progressors have contribution on TB transmissions.

show abstract

“…Mathematical models have become important tools in analyzing the spread and control of diseases using simulation approaches as in Adetunde (2009) ; Koriko and Yusuf, (2008) proposed mathematical models of Tuberculosis disease, determined the disease free and endemic equilibrium point and analyzed the stability.…”

Section: Introductionmentioning

confidence: 99%

Control of the Transmission of Chikungunya Fever Epidemic Through the use of Adulticide

Naowarat¹

2011

American Journal of Applied Sciences

View full text Add to dashboard Cite

Problem statement: Another newly emerging disease, chikungunya fever, has appeared in various places such as the Island of Reunion, Thailand and other India. To control an epidemic of disease once it has been established, the use of adulticide is proposed. Approach: To simulate the effects of different control measurement, a mathematical model incorporating the specific features of this disease has been proposed. Using the standard methods for analyzing the dynamical stability of the system, the role of the efficacy of the adulticide on the basic reproduction number of the disease is studied. Results and Conclusion: It was found that below a particular value of the efficacy which depends on the values of the parameters used in the model, adulticide would not be effective at controlling the epidemic

show abstract

The Mathematical Models of the Dynamical Behaviour of Tuberculosis Disease in the Upper East Region of the Northern Part of Ghana: A Case Study of Bawku

Cited by 11 publications

References 1 publication

On the Effect of Vaccination, Screening and Treatment in Controlling Typhoid Fever Spread Dynamics: Deterministic and Stochastic Applications

On the Effect of Vaccination, Screening and Treatment in Controlling Typhoid Fever Spread Dynamics: Deterministic and Stochastic Applications

Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium

Control of the Transmission of Chikungunya Fever Epidemic Through the use of Adulticide

Contact Info

Product

Resources

About