Research Articles (Mathematics Military)

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Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania
(Informa UK Limited, trading as Taylor & Francis Group, 2017) Hugo, Alfred; Makinde, Oluwole Daniel; Kumar, Santosh; Chibwana, Fred F.
In this paper, a deterministic compartmental eco- epidemiological model with optimal control of Newcastle disease (ND) in Tanzania is proposed and analysed. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin’s maximum principle and the numerical values of model parameters were estimated using maximum likelihood estimator. Three control strategies were incorporated such as chicken vaccination (preventive), human education campaign and treatment of infected human (curative) and its’ impact were graphically observed. The incremental cost effectiveness analysis technique used to determine the most cost effectiveness strategy and we observe that combination of chicken vaccination and human education campaign strategy is the best strategy to implement in limited resources. Therefore,NDcan be controlled if the farmers will apply chicken vaccination properly and well in time.