论文标题
建模具有最佳控制的NIPAH病毒的传播动力学
Modelling the Transmission Dynamics of Nipah Virus with Optimal Control
论文作者
论文摘要
确定性的数学模型被制定和分析，以在定性和数值上研究NIPAH病毒的传播动力学。研究了平衡的存在和稳定性，并严格分析了模型。然后，我们使用Pontryagin的最大原理来纳入模型的时间依赖控制，从而得出必要的条件，以最佳控制该疾病。我们检查了各种组合策略，以研究控制对疾病传播的影响。通过数值结果，我们发现最佳控制策略有助于大大减轻疾病的负担
A deterministic mathematical model is formulated and analyzed to study the transmission dynamics of Nipah virus both qualitatively and numerically. Existence and stability of equilibria were investigated and the model was rigorously analyzed. We then incorporated time dependent controls on the model, using Pontryagin's Maximum Principle to derive necessary conditions for the optimal control of the disease. We examined various combination strategies so as to investigate the impact of the controls on the spread of the disease. Through the numerical results, we found out that the optimal control strategies help to reduce the burden of the diseases significantly
