13 citations · 23 across the 6 of their papers we have counts for
6 papers
High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures
Azmy S. Ackleh, Rainey Lyons, Nicolas Saintier
In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space…
Selection Mutation Differential Equations: Long-time Behavior of Measure-Valued Solutions
Azmy S. Akleh, John Cleveland, Horst R. Thieme
We study the long-time behavior of solutions to a measure-valued selection-mutation model that we formulated in \cite{CLEVACK}. We establish permanence results for the full model,…
Finite difference approximations for a size-structured population model with distributed states in the recruitment
A. S. Ackleh, J. Z. Farkas, X. Li +1
In this paper we consider a size-structured population model where individuals may be recruited into the population at different sizes. First and second order finite difference sch…
Evolutionary Game Theory on Measure Spaces: Asymptotic Behavior of Solutions
John Cleveland, Azmy S. Ackleh
In [12] we formulated an evolutionary game theory model as a dynamical system on the state space of finite signed Borel measures under the weak* topology. The focus of this paper i…
Evolutionary Game Theory on Measure Spaces: Well-Posedness
John Cleveland, Azmy S. Ackleh
An attempt is made to find a comprehensive mathematical framework in which to investigate the problems of well-posedness and asymptotic analysis for fully nonlinear evolutionary ga…
On the net reproduction rate of continuous structured populations with distributed states at birth
Azmy S. Ackleh, Jozsef Z. Farkas
We consider a nonlinear structured population model with a distributed recruitment term. The question of the existence of non-trivial steady states can be treated (at least!) in th…