The model of three competitive populations with Gompertz growth is studied. The periodic solutions are ruled out by generalized Dulac criteria. On the basis of the analysis, we obtain conditions that ensure the asymptotic behavior of the model is simple.
The rich dynamics of a viral infection model is studied under the assumption that the immune response is retarded. It is shown that if the basic reproductive ratio of the virus is less than one, the infection-free equilibrium is globally asymptotically stable. Analytical and numerical results show that if the basic reproductive ratio of the virus is greater than one, the combined effect of the strength...
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