Modeling the Effects of Contraceptives as a Control Strategy in Human Population Dynamics

Show simple item record Kirui, Wesley Rotich, Titus 2019-09-10T09:26:57Z 2019-09-10T09:26:57Z 2019-06
dc.identifier.citation Mathematical Modelling and Applications Volume 4, Issue 2, June 2019, Pages: 22-35 en_US
dc.identifier.issn 2575-1786 (Print)
dc.identifier.issn 2575-1794 (Online)
dc.description doi: 10.11648/ en_US
dc.description.abstract The population size of every country or government is very important in planning on effective service delivery. The cost of conducting population census yearly is of great significance to the country’s budget and many countries conduct population census once in a decade. This makes planning and provision of services to be based on mere approximation. Provision of free maternity services, estimation of national hospital insurance fund premium for medical care, and provision of retirement benefits, payment of allowances to the aged require accurate demographic statistics. In this study, population dynamics is described using a stochastic model, where population is put into distinct and disjoint age classes: Juvenile, sub-Adult, Adult, Resting-Adult, Senior Citizens and the Aged. These structures are assigned intra and inter group transmission rates which form the elements of transmission matrix and presented in form of a Leslie model. The model was modified to allow stochastic variation of transition parameters which is affected by demographic and environmental factors, specifically the effect of contraceptives to control population. It was found that intermittent implementation of control strategy at 50% and 70% efficacy yields a steady population growth rate of λ=1.39 and a steady population distribution of P=(23%, 10%, 23%, 18%, 23%, 20%, 6%)T. en_US
dc.language.iso en en_US
dc.publisher science PG publishing group en_US
dc.subject Population Control en_US
dc.subject Employment Ratio en_US
dc.subject Replacement Rate en_US
dc.subject Economic Ratio en_US
dc.subject Force Dependency Ratio en_US
dc.subject Leslie Model en_US
dc.subject Dependency Ratio en_US
dc.subject Demographic Parameters en_US
dc.title Modeling the Effects of Contraceptives as a Control Strategy in Human Population Dynamics en_US
dc.type Article en_US

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