The effect of dispersal on asymptotic total population size in discrete-and continuous-time two-patch models

C Grumbach, FN Reurik, J Segura, D Franco… - Journal of Mathematical …, 2023 - Springer
Many populations occupy spatially fragmented landscapes. How dispersal affects the
asymptotic total population size is a key question for conservation management and the …

A hierarchical intervention scheme based on epidemic severity in a community network

R He, X Luo, JKK Asamoah, Y Zhang, Y Li, Z Jin… - Journal of Mathematical …, 2023 - Springer
As there are no targeted medicines or vaccines for newly emerging infectious diseases,
isolation among communities (villages, cities, or countries) is one of the most effective …

Total biomass of a single population in two-patch environments

D Gao, Y Lou - Theoretical Population Biology, 2022 - Elsevier
For the two-patch logistic model, we study the effect of dispersal intensity and dispersal
asymmetry on the total population abundance and its distribution. Two complete …

Perturbation drives changing metapopulation dynamics in a top marine predator

EL Carroll, A Hall, MT Olsen… - … of the Royal …, 2020 - royalsocietypublishing.org
Metapopulation theory assumes a balance between local decays/extinctions and local
growth/new colonisations. Here we investigate whether recent population declines across …

Increase maximum economic yield in a patchy environment

B Elbetch, A Moussaoui, P Auger - Journal of Mathematical Biology, 2025 - Springer
In this work, we study the model of a fish species growing logistically exploited by a fishing
fleet in a heterogeneous environment. The environment is made up of a network of fishing …

Stability switching and hydra effect in a predator–prey metapopulation model

N Bajeux, B Ghosh - Biosystems, 2020 - Elsevier
A metapopulation model is investigated to explore how the spatial heterogeneity affects
predator–prey interactions. A Rosenzweig–MacArthur (RM) predator–prey model with …

[HTML][HTML] The multi-patch logistic equation with asymmetric migration

B Elbetch, T Benzekri, D Massart, T Sari - Revista Integración, 2022 - scielo.org.co
This paper is a follow-up to a previous work where we considered a multi-patch model, each
patch following a logistic law, the patches being coupled by symmetric migration terms. In …

Nonlinear diffusion in multi-patch logistic model

B Elbetch, A Moussaoui - Journal of Mathematical Biology, 2023 - Springer
We examine a multi-patch model of a population connected by nonlinear asymmetrical
migration, where the population grows logistically on each patch. Utilizing the theory of …

[HTML][HTML] Mathematical epidemiology in a data-rich world

J Arino - Infectious Disease Modelling, 2020 - Elsevier
I discuss the acquisition and use of “background” data in mathematical epidemiology
models, advocating a proactive approach to the incorporation of said data. I illustrate various …

Enhancing maximum sustainable yield in a patchy prey–predator environment

B Elbetch, A Moussaoui - Ecological Complexity, 2024 - Elsevier
In this paper, we investigate a prey–predator community of fish coexisting in a multi-patches
model, where different fishing patches are interconnected through migration terms. Only the …