“…The study of evolutionary dynamics increasingly relies on computational methods, as more and more cases outside the range of analytical tractability are explored. …”
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“…RESULTS: Here, we use a related mathematical modeling approach to demonstrate that ongoing Red Queen dynamics is unlikely. In fact, they collapse rapidly when two critical pieces of realism are acknowledged: (i) population size fluctuations, caused by the antagonism of the interaction in concordance with the Lotka-Volterra relationship; and (ii) stochasticity, acting in any finite population. …”
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“…We find a remarkable cyclic dynamics: in sufficiently large populations, extortioners play a transient role, helping the population to move from selfish strategies to compliance. …”
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“…Recently, the focus has turned to complex dynamical population structures such as social networks, where the nodes represent individuals and links represent social relationships. …”
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“…We analyze evolutionary dynamics on graphs, where the nodes represent individuals of a population. …”
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“…METHODOLOGY/PRINCIPAL FINDINGS: We derive a mathematical description of stochastic evolutionary dynamics of tag-based cooperation in populations of finite size. …”
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“…The solutions provide a description of the average time development of stem cell and non stem cell driven mutants and can be used to illustrate general and specific features of the dynamics of mutant cells in such hierarchically structured populations. …”
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“…Our results demonstrate that while models neglecting interactions can capture short-term dynamics, they fall short in predicting the population-scale picture of evolution.…”
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“…In isolated populations underdominance leads to bistable evolutionary dynamics: below a certain mutant allele frequency the wildtype succeeds. …”
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“…Microbial communities display complex population dynamics, both in frequency and absolute density. …”
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“…Population structure can strongly affect evolutionary dynamics. …”
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“…The effect of population structure on evolutionary dynamics is a long-lasting research topic in evolutionary ecology and population genetics. …”
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“…Whether the cancer cell population goes extinct or relapse occurs is determined by stochastic dynamics, which we investigate using a stochastic model. …”
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“…To investigate the strategic behavior in such situations, we have simulated the evolutionary dynamics of such collective-risk dilemmas in a finite population. …”
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“…Under this extension, the population dynamics become most complex as the model moves away from pure matching-allele and becomes more gene-for-gene-like. …”
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“…Evolutionary dynamics on graphs can lead to many interesting and counterintuitive findings. …”
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“…To study these coupled dynamics, we embed a game-theoretic model for individual NPI adherence within an epidemiological model. …”
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“…Prospectively, this allows us to compare cell proliferation between individuals and identify abnormal stem cell dynamics, which affects the risk of stem cell related diseases. …”
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“…However, for frequency dependent fitness, where the fitness of an individual depends on the interactions with other individuals in the population, this does not hold. RESULTS: We propose a mathematical model that allows to understand the consequences of random frequency dependent mutations on the dynamics of an infinite large population. …”
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