Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease
Applicationes Mathematicae (1993)
- Volume: 22, Issue: 1, page 1-9
- ISSN: 1233-7234
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topKirane, M.. "Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease." Applicationes Mathematicae 22.1 (1993): 1-9. <http://eudml.org/doc/219079>.
@article{Kirane1993,
abstract = {This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.},
author = {Kirane, M.},
journal = {Applicationes Mathematicae},
keywords = {global existence; nonlinear reaction-diffusion system; large time behaviour; reaction-diffusion system with biatic diffusion; globally bounded solution},
language = {eng},
number = {1},
pages = {1-9},
title = {Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease},
url = {http://eudml.org/doc/219079},
volume = {22},
year = {1993},
}
TY - JOUR
AU - Kirane, M.
TI - Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease
JO - Applicationes Mathematicae
PY - 1993
VL - 22
IS - 1
SP - 1
EP - 9
AB - This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.
LA - eng
KW - global existence; nonlinear reaction-diffusion system; large time behaviour; reaction-diffusion system with biatic diffusion; globally bounded solution
UR - http://eudml.org/doc/219079
ER -
References
top- [1] N. D. Alikakos, bounds of solutions of reaction diffusion equations,Comm. Partial Differential Equations 4 (1979), 827-869
- [2] N. T. J. Bailey, The Mathematical Theory of Infectious Diseases, 2nd ed.,Griffin, London, 1975 Zbl0334.92024
- [3] V. Capasso, Global solution for a diffusive nonlinear deterministic epidemic model, SIAM J. Appl. Math. 35 (1978), 274-284 Zbl0415.92018
- [4] A. Haraux et M. Kirane, Estimations C^1 pour des problèmes paraboliques semi-linéaires, Ann. Fac. Sci.Toulouse 5 (1983), 265-280 Zbl0531.35048
- [5] R. Redlinger, Compactness results for time-dependent parabolic systems,J. Differential Equations 64 (1986), 133-153 Zbl0604.35041
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