Convergence Rates for a Reaction-Diffusion System | Zendy

Mokhtar Kirane | Zendy; Nasser-edine Tatar | Zendy

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Convergence Rates for a Reaction-Diffusion System

Author(s) -

Mokhtar Kirane,

Nasser-edine Tatar

Publication year - 2001

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1020

Subject(s) - reaction–diffusion system , convergence (economics) , diffusion , exponential function , exponential growth , class (philosophy) , human immunodeficiency virus (hiv) , mathematics , population , rate of convergence , statistical physics , mathematical analysis , computer science , physics , virology , biology , demography , telecommunications , economics , artificial intelligence , thermodynamics , channel (broadcasting) , economic growth , sociology

A class of reaction-diffusion systems is investigated. This class is motivated by some diffusive epidemic models, which serve to modelise the spread of Feline Immunodeficiency Virus (FIV) in the cat population, and sexually transmitted diseases. We obtain exponential convergence rates for a system with unbounded time dependent coefficients.

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