Abstract We consider SISI epidemic model with discrete-time. The crucial point of this is that an individual can be infected twice. This non-linear evolution operator depends on seven parameters and we assume the population size under consideration constant, so death rate same birth per unit time. Reducing to quadratic stochastic (QSO) study dynamical system model.

The paper investigates the realization problem for piecewise-affine discrete-time hybrid systems. A piecewise-affine discrete-time hybrid system is a discrete-time system such that the state-transition and readout maps are piecewise-affine maps. We will restrict our attention to autonomous systems and we will study the following realization problem. For a specified output trajectory, find a pie...

Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is...

Abstract In this work, we look at the extension of classical discrete dynamical system to multidimensional discrete-time by characterizing chaos notions on $${\mathbb {Z}}^d$$ Z d -action. The -action a space X has been defined in very general man...