The Dynamics of Natural Mortality, Life Expectancy and TB in an Structured Population.
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Abstract
We have extended live classical Mckcndriok-Focrstcr age structured population model to study the olicet ol population area size on the transmission dynamics of tuberculosis in an ngo*otniciurccl population, in wliicli infective recovers, nfior irontmontond bocomo suscoptiblo again when in contact with Die disease. The natural mortality rate J3 assumed density mid nren size depended, wiUi the population assumed lo be in propoi tionm.0 mixing. Wo defined n niodol in which tlie area sizes and the total population influences the rale at. which death by nature in 1110 population. This model is extended to study Iho influence the area size of the population has on the natural mortality rate, life expectancy of the population and the transmission dynamics oT the infection. The analytical solutions of the governing equations arc obtained. The existence of the non trivial a toady .states in oxnminod with their local and global .stability.