[HTML][HTML] Adaptation in a stochastic multi-resources chemostat model

N Champagnat, PE Jabin, S Méléard - Journal de Mathématiques Pures et …, 2014 - Elsevier
We are interested in modeling the Darwinian evolution resulting from the interplay of
phenotypic variation and natural selection through ecological interactions, in the specific …

Ecological relationships of Haemaphysalis longicornis Neumann with other tick species on wildlife hosts at cow-calf farms implementing integrated pest management …

RA Butler, LI Muller, D Grove, RTT Fryxell - Parasitology, 2024 - cambridge.org
Longhorned tick (Haemaphysalis longicornis) is an invasive tick species that parasitizes a
variety of vertebrate hosts and transmits pathogens affecting humans and livestock in the …

Fast, slow convergence, and concentration in the house of cards replicator-mutator model

B Cloez, P Gabriel - Differential and Integral Equations, 2024 - projecteuclid.org
FAST, SLOW CONVERGENCE, AND CONCENTRATION IN THE HOUSE OF CARDS
REPLICATOR-MUTATOR MODEL 1. Introduction We are interested in th Page 1 Differential …

Coupling-induced oscillations in two intrinsically quiescent populations

A Mustafin - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
A model of two consumer–resource systems linked by interspecific interference competition
of consumers is considered. The basic assumption of the model is that the dynamics of the …

Математическая модель конкуренции двух популяций (линейный ареал)

ЕП Колпак, ЕВ Горыня, ВЮ Полежаев - … , ТЕОРИИ УПРАВЛЕНИЯ И …, 2014 - elibrary.ru
Поставлена математическая задача о конкуренции на линейном ареале двух
популяций. Математическая модель представляет собой краевую задачу для системы …

Resource competition and technological diversity

A Mustafin, A Kantarbayeva - PLoS One, 2021 - journals.plos.org
The work develops and investigates a mathematical model for evolution of the technological
structure of an economic system where different technologies compete for the common …

Weak convergence of a mass-structured individual-based model

F Campillo, C Fritsch - Applied Mathematics & Optimization, 2015 - Springer
We propose a model of chemostat where the bacterial population is individually-based,
each bacterium is explicitly represented and has a mass evolving continuously over time …

[PDF][PDF] Linearization of solution operators for state-dependent delay equations: a simple example

O Diekmann, K Korvasová - Discrete Contin Dyn Syst A, 2016 - researchgate.net
For state-dependent delay equations, it may easily happen that the equation is not
differentiable. This hampers the formulation and the proof of the Principle of Linearized …

An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model

CH Zhang, GZ Chen, ZW Fang, X Lin… - Journal of Computational …, 2022 - Elsevier
In this paper, we study the numerical solution for the evolutionary stable distribution (ESD)
model. A new implicit–explicit scheme is proposed to discretize the ESD model, which can …

Long-term behaviour of phenotypically structured models

A Lorz, B Perthame - Proceedings of the Royal Society A …, 2014 - royalsocietypublishing.org
Phenotypically structured equations arise in population biology to describe the interaction of
species with their environment that brings the nutrients. This interaction usually leads to the …