Results 41 to 50 of about 347 (107)

Periodic dynamics of a general switching dynamical system

European Journal of Applied Mathematics
Seasonal changes and cyclical human activities (such as periodic fishing bans, Wolbachia-based mosquito population control, and school term breaks) have significant impacts on population dynamics.
Qian Ding, Jianshe Yu, Zhiming Guo, Yuming Chen, Yunfeng Liu   +4 more
doaj   +1 more source

Threshold dynamics scenario of a plants-pollinators cooperative system with impulsive effect on a periodically evolving domain

European Journal of Applied Mathematics
Flowering plants depend on some animals for pollination and contribute to nourish the animals in natural environments. We call these animals pollinators and build a plants-pollinators cooperative model with impulsive effect on a periodically evolving ...
Jie Wang, Ruirui Yang, Jian Wang, Jianxiong Cao   +3 more
doaj   +1 more source

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

Bistability induced by generalist natural enemies can reverse pest invasions [PDF]

, 2016
Reaction-diffusion analytical modeling of predator-prey systems has shown that specialist natural enemies can slow, stop and even reverse pest invasions, assuming that the prey population displays a strong Allee effect in its growth.
Barles, Guy, Casas, Jérôme, Madec, Sten, Suppo, Christelle   +3 more
core   +2 more sources

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  

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  

Splitting trees stopped when the first clock rings and Vervaat's transformation

, 2011
We consider a branching population where individuals have i.i.d.\ life lengths (not necessarily exponential) and constant birth rate. We let $N_t$ denote the population size at time $t$. %(called homogeneous, binary Crump--Mode--Jagers process).
Lambert, Amaury, Trapman, Pieter
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

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

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