Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic output of one species is being used as a nutrient or energy source by another sp...

Stochastic encounter-mating (SEM) models describe monogamous permanent pair formation in finite zoological populations of multitype females and males. In this article, we study SEM with Poisson firing times. First, we prove that the model enjoys a fluid limit as the population size diverges, i.e., the stochastic dynamics converges to a deterministic system governed by coupled ODEs. Then, we con...

We present the family of Excess Payoff Dynamics for normal-form games, where growth a strategy depends only on its current proportion and excess payoff, i.e., payoff advantage over average population payoff. Requiring dependence own natural sign-preserving condition, class essentially reduces to aggregate monotonic dynamics, functional generalization Replicator Dynamics. However, also include d...

In this paper we study a repeated game and the replicator dynamics to analyze spread of rumor in society formed by two populations. One population is informed about communicates other population. According preferences each individual, communicated its original or modified form. We stability dynamic equilibria. conclude that there are three possibilities for rumor. The may end up being dissemina...

Introducing the effect of extinction into the so-called replicator equations in mathematical biology, we construct a general model where the diversity of species, i.e., the dimension of the equation, is a time-dependent variable. The system shows very different behavior from the original replicator equation, and leads to mass extinction when the system initially has high diversity. The present ...

We propose a novel method for functional segmentation of fMRI data that incorporates multiple functional attributes such as activation effects and functional connectivity, under a single framework. Similar to PCA, our method exploits the structure of the correlation matrix but with neighborhood information adaptively integrated to encourage detection of spatially contiguous clusters yet without...

In this paper, we investigate the evolutionary game theory on a simplest heterogeneous network-a single hub structure. In order to describe the dynamics on structured populations, we firstly give a general form of a spatial replicator equation. Then according to it, the evolutionary equations describing the evolution of two strategies (cooperation and defection) are derived explicitly and the d...

Along with the continuous development of wireless communication technology and popularization of multimode terminal, the seamless fusion of various heterogeneous wireless networks has gradually become the trend of network development. The diversified forms of network access enable the multi-mode terminal to dynamically select the access network with the highest utility value to obtain network s...

Parametric excitation refers to dynamics problems in which the forcing function enters into the governing differential equation as a variable coefficient. Evolutionary dynamics refers to a mathematical model of natural selection (the “replicator” equation) which involves a combination of game theory and differential equations. In this paper we apply perturbation theory to investigate parametric...

Functional magnetic resonance imaging (fMRI) has been widely used for inferring brain regions that tend to work in tandem and grouping them into subnetworks. Despite that certain brain regions are known to interact with multiple subnetworks, few existing techniques support identification of subnetworks with overlaps. To address this limitation, we propose a novel approach based on replicator dy...