Vladimir Kozlov: Dynamical behaviour of SIR model with co-infection of two viruses

Co-infection with multiple strains in a single host is very common. Multiple viruses are widely studied because of their negative effect on the health of host as well as on whole population. Many mathematical models have been developed and analyzed with multiple strains. In this talk, we formulate a SIR model with co-infection and density dependence.
Our main concern is the global dynamics of the corresponding dynamical system and a special attention will be given to the dependence of the dynamics on system s parameters. Changing the parameters you can switch the system from one stable dynamics to another one which corresponds to the disease-free equilibrium, equilibrium with one strain or coexistence equilibrium. I will discuss this transformation of dynamics and especially how it depends on the carrying capacity. In particular it will be shown that the dynamics becomes more and more complicated when the carrying capacity of population increases. This supports the enrichment paradox for this system. This is a joint work with Samia Ghersheen, Vladimir Tkachev and Uno Wennergren (Linköping University).