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Stability of Epidemic Models with Evolution
Author(s) -
Mulone G.,
Straughan B.,
Wang Wendi
Publication year - 2007
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2007.00367.x
Subject(s) - intraspecific competition , liapunov function , stability (learning theory) , mathematics , epidemic model , nonlinear system , competition (biology) , competition model , reaction–diffusion system , diffusion , statistical physics , mathematical analysis , physics , computer science , biology , demography , ecology , thermodynamics , economics , population , sociology , profit (economics) , quantum mechanics , machine learning , microeconomics
Epidemic models are considered where the diffusion of individuals is influenced by intraspecific competition pressures and are weakly affected by different classes. The nonlinear stability of some of the models is proved by introducing new Liapunov functions.