Results 41 to 50 of about 342 (107)

Evaluating the Fidelity of Data-Driven Predator-Prey Models: A Dynamical Systems Analysis

bioRxiv
In empirical predator-prey systems, understanding the inherent dynamics typically comes from analyzing a structural model fitted to observation data.
Anna S. Frank, Jiawen Zhang, Sam Subbey
semanticscholar   +1 more source

Spreading Speed, Traveling Waves, and Minimal Domain Size in\ud Impulsive Reaction-diffusion Models [PDF]

, 2012
How growth, mortality, and dispersal in a species affect the species’ spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct reproductive and dispersal ...
Lewis, M. A., Li, B.
core  

Comparing disease control policies for interacting wild populations

, 2014
We consider interacting population systems of predator-prey type, presenting four models of control strategies for epidemics among the prey. In particular to contain the transmissible disease, safety niches are considered, assuming they lessen the ...
Bulai, Iulia Martina, Cavoretto, Roberto, Chialva, Bruna, Duma, Davide, Venturino, Ezio   +4 more
core   +1 more source

Dynamic ecological system measures

Results in Applied Mathematics, 2019
The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article.
Huseyin Coskun
doaj  

Phase transitions for a planar quadratic contact process [PDF]

, 2016
We study a two dimensional version of Neuhauser's long range sexual reproduction model and prove results that give bounds on the critical values $\lambda_f$ for the process to survive from a finite set and $\lambda_e$ for the existence of a nontrivial ...
Bessonov, Mariya, Durrett, Richard
core  

Limit theorems for supercritical age-dependent branching processes with neutral immigration [PDF]

, 2010
We consider a branching process with Poissonian immigration where individuals have inheritable types. At rate theta, new individuals singly enter the total population and start a new population which evolves like a supercritical, homogeneous, binary ...
Richard, Mathieu
core  

Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates

, 2015
This article studies the quasi-stationary behaviour of multidimensional birth and death processes, modeling the interaction between several species, absorbed when one of the coordinates hits 0.
Champagnat, Nicolas, Villemonais, Denis
core   +1 more source

The peripatric coalescent

, 2013
We consider a dynamic metapopulation involving one large population of size N surrounded by colonies of size \varepsilon_NN, usually called peripheral isolates in ecology, where N\to\infty and \varepsilon_N\to 0 in such a way that \varepsilon_NN\to\infty.
Lambert, Amaury, Ma, Chunhua
core  

Efficient numerical computation of the basic reproduction number for structured populations. [PDF]

J Comput Appl Math, 2021
Breda D, Florian F, Ripoll J, Vermiglio R.   +3 more
europepmc   +1 more source

Mathematical bounds on Shannon entropy given the abundance of the ith most abundant taxon. [PDF]

J Math Biol, 2023
Morrison ML, Rosenberg NA.
europepmc   +1 more source