Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 17, Issue 2, Pages 171-187Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202507001875
Keywords
stochastic dynamical systems; kinetic theory; population models; nonlinearity
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This paper deals with the derivation of hybrid mathematical structures to describe the behavior of large systems of active particles by ordinary differential equations with stochastic coefficients whose evolution is modelled by equations of the mathematical kinetic theory. A preliminary analysis shows how the above tools can be used to model complex systems of interest in applied sciences, with special attention to the immune competition.
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