Dengue fever is a typical mosquito-borne infectious disease. We propose two-strain model describing the dynamics of dengue transmission by both mosquitoes (vectors) and humans (hosts), that reads as system of 19 non- linear ODEs. We include secondary infections (with other strain), causing a severe form of disease and take into account vector dynamics, incubation period of dengue virus and vertical transmission to larvae, i.e. possible transmission of virus from infected female mosquitoes to their offspring. Introducing hospitalized class we could capture possibility of developing DHF (dengue hemorrhagic fever) or DSS (dengue shock syndrome). Mathematical analysis of proposed model is conducted - we study existence and local stability of equilibria of the system. In the introduced model unexpected mathematical results occur, that is why we implement some modifications and analyse such simplified system. Despite the complexity of proposed models, we manage to obtain explicit results on stability of equilibria, what is not common in the case of complicated systems like ours. The presentation is based on joint work with Marcin Choiński and Urszula Skwara.
Meeting ID: 852 4277 3200 Passcode: 103121