DYNAMICS AND THERMODYNAMICS OF DELAYED POPULATION-GROWTH

Citation
V. Mendez et J. Camacho, DYNAMICS AND THERMODYNAMICS OF DELAYED POPULATION-GROWTH, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6476-6482
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
6
Year of publication
1997
Part
A
Pages
6476 - 6482
Database
ISI
SICI code
1063-651X(1997)55:6<6476:DATODP>2.0.ZU;2-Y
Abstract
The dynamic and thermodynamic properties of delayed nonlinear reaction -diffusion equations describing population growth with memory are anal yzed. In the dynamic study we first apply the speed selection mechanis ms for wave fronts connecting two steady states obtaining, on one hand , a decrease in the lower bound speed, and also an upper bound velocit y; we also calculate an exact wave front solution. in the thermodynami c study. we show an agreement between the stochastic description and e xtended irreversible thermodynamics in the presence of a source of par ticles.