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In this thesis we use dynamical systems to analize the consequences of competition in the arrival of a foreign species in an ecosystem.

动力系统 · 数学 2023-03-01 Alvaro Reyes-García

A deterministic population dynamics model involving birth and death for a two-species system, comprising a wild-type and more resistant species competing via logistic growth, is subjected to two distinct stress environments designed to…

Classical understanding of the outcome of the struggle for existence results in the Darwinian survival of the fittest. Here we show that the situation may be different, more complex and arguably more interesting. Specifically, we show that…

种群与进化 · 定量生物学 2018-12-10 Georgy Karev , Faina Berezovskaya

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

种群与进化 · 定量生物学 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

We study the limit of many small mutations of a model of population dynamics. The population is structured by phonological traits and is spatially inhomogeneous. The various sub-populations compete for the same nutrient which diffuses…

偏微分方程分析 · 数学 2016-01-19 Pierre-Emmanuel Jabin , Raymond Strother Schram

In most professional sports, the structure of the environment is kept neutral so that scoring imbalances may be attributed to differences in team skill. It thus remains unknown what impact structural heterogeneities can have on scoring…

物理与社会 · 物理学 2013-11-04 Sears Merritt , Aaron Clauset

Explaining coexistence in species-rich communities of primary producers remains a challenge for ecologists because of their likely competition for shared resources. Following Hutchinson's seminal suggestion, many theoreticians have tried to…

种群与进化 · 定量生物学 2019-04-25 Coralie Picoche , Frederic Barraquand

Climate changes may affect ecosystems destabilising relationships among species. We investigate the spatial rock-paper-scissors models with a regional unevenness that reduces the selection capacity of organisms of one species. Our results…

种群与进化 · 定量生物学 2023-06-06 J. Menezes , M. Tenorio

As early indicated by Charles Darwin, languages behave and change very much like living species. They display high diversity, differentiate in space and time, emerge and disappear. A large body of literature has explored the role of…

种群与进化 · 定量生物学 2010-04-27 Ricard V. Solé , Bernat Corominas-Murtra , Jordi Fortuny

In natural ecosystems, species can be characterized by the nonlinear density-dependent self-regulation of their growth profile. Species of many taxa show a substantial density-dependent reduction for low population size. Nevertheless, many…

种群与进化 · 定量生物学 2025-06-26 Amit Samadder , Arnab Chattopadhyay , Anurag Sau , Sabyasachi Bhattacharya

Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources distribution in a given box. We…

偏微分方程分析 · 数学 2018-07-25 Idriss Mazari , Grégoire Nadin , Yannick Privat

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

种群与进化 · 定量生物学 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

We study the evolution of recombination using a microscopic model developed within the frame of the theory of quantitative traits. Two components of fitness are considered: a static one that describes adaptation to environmental factors not…

种群与进化 · 定量生物学 2007-05-23 Franco Bagnoli , Carlo Guardiani

We consider a model in which agents of different species move over a complex network, are subject to reproduction and compete for resources. The complementary roles of competition and diffusion produce a variety of fixed points, whose…

物理与社会 · 物理学 2011-06-21 V. Nicosia , F. Bagnoli , V. Latora

Species sharing a prey or a predator species may go extinct due to exploitative or apparent competition. We examine whether evolution of the shared species acts as a coexistence mechanism and to what extent the answer depends on the genetic…

种群与进化 · 定量生物学 2019-02-12 Sebastian J. Schreiber , Swati Patel , Casey terHorst

Gause's principle of competition between two species is studied when one of them is sterile. We study the condition for total extinction in the niche, namely, when the sterile population exterminates the native one by an optimal use of…

适应与自组织系统 · 物理学 2009-10-31 J. C. Flores , R. Beltran

Coexistence of competing species is, due to unavoidable fluctuations, always transient. In this Letter, we investigate the ultimate survival probabilities characterizing different species in cyclic competition. We show that they often obey…

种群与进化 · 定量生物学 2009-01-30 Maximilian Berr , Tobias Reichenbach , Martin Schottenloher , Erwin Frey

We investigate a tritrophic system in which organisms' energy depletion, resulting from failed selection attempts, leads to a partial loss of capacity to win the cyclic spatial game. The energy required to maintain optimal organism fitness…

种群与进化 · 定量生物学 2024-06-05 J. Menezes , E. Rangel

In apparent contradiction to competition theory, the number of known, co-existing plankton species far exceeds their explicable biodiversity - a discrepancy termed the Paradox of the Plankton. We introduce a new game-theoretic model for…

种群与进化 · 定量生物学 2020-12-14 Susanne Menden-Deuer , Julie Rowlett

In many natural situations one observes a local system with many competing species which is coupled by weak immigration to a regional species pool. The dynamics of such a system is dominated by its stable and uninvadable (SU) states. When…

种群与进化 · 定量生物学 2017-07-26 Yael Fried , Nadav M. Shnerb , David A. Kessler