Many mathematical concepts from different branches of mathematics are united to study some properties of cellular automata (CA). Periodicity and chaos (in the sense of sensitive dependence on initial conditions) are studied for 1-dimensional CA. The method of the characteristic polynomial of the...

In this paper, we generalize convex static multi-team games to both non-convex and dynamic games. Multi-team dynamic Cournot, Hawk–Dove and Prisoner's Dilemma games are investigated. Puu's incomplete information dynamical systems are modified and applied to Cournot game.

Oral tolerance is modelled using the Chowdhury et al. model. Two fuzzy generalizations for this model (i.e. models that use fuzzy mathematics) are considered to include autoimmunity. Oral tolerance is studied for these fuzzy models and it is shown that for some cases oral tolerance can be used...

A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.

Recent studies in ecology and epidemiology indicate that it is important to include spatial heterogeneity, synchronization and seasonality in the theoretical models. In this work, spatial heterogeneity is introduced via coupled map lattices (CML) and partial differential equations. Stability and...

Cellular automata model corresponding to Cattaneo's diffusion is constructed. Its phase space is given. Delay is shown to decrease the chaotic (Damage spread) region. Then cellular automata are used to study a stochastic minority game. Payoff memory approach introduced by Smale is used. A...

A cellular automata model for an epidemic is given.It includes inhomogeneous mixing, latency, incubation andvariable suscepibility to the disease. These features are shown to be extremely difficult to be studied using differential equations.