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Bistability analysis of virus infection models with time delays. (English) Zbl 1451.92303

Summary: Mathematical models with time delays are widely used to analyze the mechanisms of the immune response to virus infections and predict various therapeutic effects. Using the lymphocytic choriomeningitis virus infection model as an example, this work describes an original computational technology for searching the bistable regimes of such models. This technology includes numerical methods for finding all possible steady states at fixed values of parameters, for tracing these states along the parameters and for analyzing their stability.

MSC:

92D30 Epidemiology
34K10 Boundary value problems for functional-differential equations
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