Masud M A, Kim Byul Nim, Kim Yongkuk
Department of Mathematics, Kyungpook National University, South Korea.
Department of Mathematics, Kyungpook National University, South Korea.
Biosystems. 2017 Jun-Jul;156-157:23-39. doi: 10.1016/j.biosystems.2017.03.005. Epub 2017 Apr 3.
Dengue viruses (DENV) are transmitted to humans by the bite of Aedes mosquitoes. It is known that dengue virus infection in Aedes aegypti female mosquitoes makes a change in the feeding behavior of the infected mosquitoes. In this study, using the forces of infection, we incorporated the effect of changes in the feeding behavior of mosquitoes into the standard vector-borne SIR-SI model. It has been proved that both a single-strain model and a two-strain model exhibit forward bifurcations. Moreover, optimal implementations of control with specific prevention measures for dengue transmission are analyzed. As a result we found that more implementation of controls on the secondary infection of humans should be considered for the behavioral changes in feeding of the infected mosquitoes.
登革病毒（DENV）通过埃及伊蚊叮咬传播给人类。已知埃及伊蚊雌蚊感染登革病毒会使其摄食行为发生改变。在本研究中，我们利用感染力，将蚊子摄食行为变化的影响纳入标准的媒介传播SIR - SI模型。已证明单毒株模型和双毒株模型均呈现正向分岔。此外，还分析了针对登革热传播采取特定预防措施的最优控制实施情况。结果我们发现，鉴于受感染蚊子摄食行为的变化，应考虑更多地对人类二次感染实施控制措施。
