Complex networks, comprised of individual elements that interact with each other through
reaction channels, are ubiquitous across many scientific and engineering disciplines …

Evolutionary game theory has become one of the most diverse and far reaching theories in
biology. Applications of this theory range from cell dynamics to social evolution. However …

Analytical (rational) mechanics is the mathematical structure of Newtonian deterministic
dynamics developed by D'Alembert, Lagrange, Hamilton, Jacobi, and many other luminaries …

The study of evolutionary dynamics increasingly relies on computational methods, as more
and more cases outside the range of analytical tractability are explored. The computational …

We investigate a class of evolutionary models, encompassing many established models of
well-mixed and spatially structured populations. Models in this class have fixed population …

William D. Hamilton famously stated that “human life is a many person game and not just a
disjoined collection of two person games". However, most of the theoretical results in …

In previous work, punishment has been proved to an effective way to promote cooperation,
and punish is introduced as a strategy just like cooperate or defect. In this paper, however …

Stochastic differential equations (SDE) are widely used in modeling stochastic dynamics in
literature. However, SDE alone is not enough to determine a unique process. A specified …

The chemical Langevin equation and the associated chemical Fokker-Planck equation are
well-known continuous approximations of the discrete stochastic evolution of reaction …

To study the behavioral strategies of government agencies and the coal power industry
chain under environmental regulation, an evolutionary game model has been constructed …