difference equations

Complex dynamics and chaos control in a nonlinear discrete prey–predator model

The dynamics of prey–predator interactions are often modeled using differential or difference equations.  In this paper, we investigate the dynamical behavior of a two-dimensional discrete prey–predator system.  The model is formulated in terms of difference equations and derived by using a nonstandard finite difference scheme (NSFD), which takes into consideration the non-overlapping generations.  The existence of fixed points as well as their local asymptotic stability are proved.  Further, it is shown that the model experiences Neimark–Sacker bifurcation (NSB for sho

Numerical Simulation of Cyber-physical Biosensor Systems on the Basis of Lattice Difference Equations

Cyber physical systems (CPS) include a lot of high complexity computing such as dynamic analysis and verification of continuous dynamic property, analysis and verification of real- time property, analysis and verification of spatial property, scheduling and fault tolerance. In this paper, some of the research directions that we are taking toward addressing some of the challenges involved in building cyber physical systems have been described. Taking into account the features of the cyber-physical sensor systems, the basic model has been modified.