In order to improve the prediction accuracy of groundwater pollution diffusion path, this paper combines multivariate data fusion technology predict and analyze path. Under special two-strategy swarm game model water particle swarm, introduces replication dynamics with bounded continuous time-delay. Moreover, considering dynamic behavior in both cases constant kernel function exponential functi...

The evolution of many forms of mimicry are well understood, but the evolution of mimicry in the absence of aposematic models or third party participants remains poorly understood. This paper presents a model of the evolution of interspecific social dominance mimicry (ISDM), that does not rely on third-party observers, in the context of the Hairy-Downy game. Members of a socially dominant specie...

The classical idea of evolutionarily stable strategy (ESS) modeling animal behavior does not involve any spatial dependence. We considered a spatial Hawk-Dove game played by animals in a patchy environment with wrap around boundaries. We posit that each site contains the same number of individuals. An evolution equation for analyzing the stability of the ESS is found as the mean dynamics of the...

It is known that in homogeneous populations the choice of the update rule is not critical in the evolutionary process. In this paper we investigate an evolutionary game between two strategies, A and B, interacting on a star graph considering four important update rules. We find explicit expressions for the fixation probability of any number of mutants placed at any position on the star, and the...

In this paper, we study a power control game over a collision channel. Each player has an energy state. When choosing a higher transmission power, the chances of a successful transmission (in the presence of other interference) increases at the cost of a larger decrease in the energy state of the battery. A central feature in these games is that of the limitation on battery life. Natural questi...

We study adaptive dynamics strategy functions by defining a form of equivalence that preserves key properties of these functions near singular points (such as whether or not a singularity is an evolutionary or a convergent stable strategy). Specifically, we compute and classify normal forms and low codimension universal unfoldings of these functions. These calculations lead to a classification ...

Why cooperation is well developed in human society is an unsolved question in biological and human sciences. Vast studies in game theory have revealed that in non-cooperative games selfish behavior generally dominates over cooperation and cooperation can be evolved only under very limited conditions. These studies ask the origin of cooperation; whether cooperation can evolve in a group of selfi...

This article shows how to apply results of chemical reaction network theory (CRNT) prove uniqueness and stability a positive equilibrium for pairs/groups distributional dynamics that arise in game theoretic models. Evolutionary assumes individuals accrue their fitness through interactions with other individuals. When there are two or more different strategies the population, this pairs (groups)...