Zobrazeno 1 - 10
of 190
pro vyhledávání: '"Hal L. Smith"'
Publikováno v:
Journal of Mathematical Biology. 81:487-515
Population dynamics with demographic variability is frequently studied using discrete random variables with continuous-time Markov chain (CTMC) models. An approximation of a CTMC model using continuous random variables can be derived in a straightfor
Autor:
Hal L. Smith
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:485-504
The article contains the author's reflections on recent developments in a very select portion of the now vast subject of monotone dynamical systems. Continuous timesystems generated by cooperative systems of ordinary differential equations, delay dif
Publikováno v:
Vietnam Journal of Mathematics. 45:153-178
For a chemostat with time-dependent removal rates that may differ between species, it is shown that a microbial species dies out if there is another species that has both a lower break-even concentration and a “less concave” functional response.
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B. 21:471-496
We extend our previous work on the spatial spread of phage infection of immobile bacteria on an agar coated plate by explicitly including loss of viruses by both adsorption to bacteria and by decay of free viruses and by including a distributed virus
Publikováno v:
Journal of Mathematical Biology. 72:821-850
We provide sharp conditions distinguishing persistence and extinction for a class of discrete-time dynamical systems on the positive cone of an ordered Banach space generated by a map which is the sum of a positive linear contraction A and a nonlinea
Publikováno v:
Journal of Dynamics and Differential Equations. 28:689-705
A model is considered for a spatially distributed population of male and female individuals that mate and reproduce only once in their life during a very short reproductive season. Between birth and mating, females and males move by diffusion on a bo
Autor:
Tracy L. Stepien, Hal L. Smith
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 35:3203-3216
We study similarity solutions of a nonlinear partial differential equation that is a generalization of the heat equation. Substitution of the similarity ansatz reduces the partial differential equation to a nonlinear second-order ordinary differentia