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We consider the model of spatially distributed population consisting of two species with "\textsl{predator\,--\,prey}" interaction; each of the species occupies two stations. Transfer of individuals between the stations (migration) is not…

种群与进化 · 定量生物学 2014-05-13 Michael G. Sadovsky , Maria Yu. Senashova

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

偏微分方程分析 · 数学 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

In this paper we study the dynamics of a class of bi-agent logistics systems consisting of two types of agents interacting on an arbitrary complex network. By approximating the system with simple microscopic models and solving them…

适应与自组织系统 · 物理学 2020-10-23 Bo Yang , Qianxiao Li

A simple cellular automata model for a two-group war over the same territory is presented. It is shown that a qualitative advantage is not enough for a minority to win. A spatial organization as well a definite degree of aggressiveness are…

无序系统与神经网络 · 物理学 2016-08-31 Serge Galam , Bastien Chopard , Alexander Masselot , Michel Droz

Marine microorganisms often reach high swimming speeds, either to take advantage of evanescent nutrient patches or to beat Brownian forces. Since this implies that a sizable part of their energetic budget must be allocated to motion, it is…

生物物理 · 物理学 2015-06-16 Mario E. Di Salvo , C. A. Condat

Heterozygote disadvantage is potentially a potent driver of population genetic divergence. Also referred to as underdominance, this phenomena describes a situation where a genetic heterozygote has a lower overall fitness than either…

种群与进化 · 定量生物学 2015-09-29 Áki J. Láruson , Floyd A. Reed

Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover, in each generation the number of individuals of each…

概率论 · 数学 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

Microbial communities feature an immense diversity of species and this diversity is linked with outcomes ranging from ecosystem stability to medical prognoses. Yet the mechanisms underlying microbial diversity are under debate. While simple…

生物物理 · 物理学 2020-10-20 Amir Erez , Jaime G. Lopez , Benjamin Weiner , Yigal Meir , Ned S. Wingreen

We study an individual based model describing competition in space between two different alleles. Although the model is similar in spirit to classic models of spatial population genetics such as the stepping stone model, here however space…

Genetic information and environmental factors determine the path of an individuals life and therefore, the evolution of its entire species. We have succeeded in proposing and studying a model that captures this idea. In our model, a…

种群与进化 · 定量生物学 2021-07-28 N. Abadi , G. Abramson

We consider a system of two competing populations in two-dimensional heterogeneous environments. The populations are assumed to move horizontally and vertically with different probabilities, but are otherwise identical. We regard these…

偏微分方程分析 · 数学 2020-02-26 Emeric Bouin , Guillaume Legendre , Yuan Lou , Nichole Slover

We revisit a recently proposed agent-based model of active biological motion and compare its predictions with own experimental findings for the speed distribution of bacterial cells, \emph{Salmonella typhimurium}. Agents move according to a…

细胞行为 · 定量生物学 2011-09-19 Victor Garcia , Mirko Birbaumer , Frank Schweitzer

Resource competition in heterogeneous environments is still an unresolved problem of theoretical ecology. In this article I analyze competition between two phytoplankton species in a deep water column, where the distributions of main…

种群与进化 · 定量生物学 2012-01-26 Alexei B. Ryabov

We review the research literature investigating systems in which mobile entities can carry data while they move. These entities can be either mobile by nature (e.g., human beings and animals) or mobile by design (e.g., trains, airplanes,…

网络与互联网体系结构 · 计算机科学 2018-06-01 Benjamin Baron , Prométhée Spathis , Marcelo Dias de Amorim , Yannis Viniotis , Mostafa H. Ammar

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Population expansions trigger many biomedical and ecological transitions, from tumor growth to invasions of non-native species. Although population spreading often selects for more invasive phenotypes, we show that this outcome is far from…

种群与进化 · 定量生物学 2015-12-14 Kirill S. Korolev

The model of smart migration for two-species community is developed, where the individuals implement reflexive strategy of spatial redistribution. Simulations have been used to figure out the situations where reflexy gives an advantage over…

种群与进化 · 定量生物学 2007-06-15 Michael G. Sadovsky , Maria Yu. Senashova , Kristina A. Kourshakova

We give an new proof of the well-known competitive exclusion principle in the chemostat model with $n$ species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number…

经典分析与常微分方程 · 数学 2017-12-01 Alain Rapaport , Mario Veruete

Additional food sources for an introduced predator are known to increase its efficiency on a target pest. In this context, inhibiting factors such as interference, predator competition, and the introduction of temporally dependent quantity…

种群与进化 · 定量生物学 2025-10-08 Urvashi Verma , Kanishka Goyal , Chanaka Kottegoda , Rana D. Parshad

Active motion of molecules along filamentous structures is a crucial feature of cell biology and is often modeled with the paradigmatic asymmetric simple exclusion process. Motivated by recent experimental studies that have addressed the…

统计力学 · 物理学 2018-09-19 Patrick Wilke , Emanuel Reithmann , Erwin Frey