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
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.