A mathematical model for Lassa fever

A mathematical model for the dynamics of Lassa fever is presented. Contributions from regular contact with the species of rats that carry the virus that cause Lassa fever and infectious contact with those suffering from the disease is seen as significant in the spread of the disease. Steady states of the model are examined for epidemic and endemic situations. A second model that incorporates the effect of vaccination on a subset of the target population is proposed, although at the moment there is no vaccine against the disease. However our model shows that in the interim, control of the rodents carrying the virus and some isolation policy for infected individuals are the best strategies against the spread of the disease. Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 457-46

Simple mathematical models for housing allocation to a homeless population

We present simple mathematical models for modelling a homeless population and housing allocation. We look at a situation whereby the local authority makes temporary accommodation available for some of the homeless for a while and we examine how this affects the number of families homeless at any given time. We also take a look at priorities especially towards the homeless and see how this also affects the homeless in terms of housing allocation and examine steady states to see how all the group of families will fare after enough time has elapsed. Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 399-40

Modelling the dynamics of tuberculosis in Nigeria

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Population Dynamics of the East African Sleeping Sickness

Mathematical models of the East African sleeping sickness epidemiology are presented. This paper is aimed at modelling the dynamics of the disease as it affects the human and domestic animal populations. The mathematical model is extended to include the contact rate of the tsetse flies with the wild park animals that serve as the reservoir for the parasite that causes this disease. Steady states for the models are also presented as well as possible control strategy for the disease. Threshold conditions for the disease free equilibrium are presented for both models. Journal of Science and Technology Vol. 26 (3) 2003: pp. 46-5