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A reaction‐diffusion system modelling the spread of bacterial infections
Author(s) -
Blat J.,
Brown K. J.,
Hadeler K. P.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080115
Subject(s) - reaction–diffusion system , decoupling (probability) , mathematics , bifurcation , steady state (chemistry) , population , diffusion , population model , statistical physics , mathematical analysis , physics , nonlinear system , thermodynamics , chemistry , medicine , control engineering , quantum mechanics , engineering , environmental health
We investigate a system of reaction‐diffusion equations which model the spread of a bacterial infection in a human population. A decoupling technique together with global bifurcation theory is used to study the steady‐state solutions of the system. The asymptotic behaviour of solutions is discussed by using sub and subersolutions and the quasimonotonicity of the system.