In this article, we generalize a recently proposed method to obtain an exact general solution for the classical Susceptible, Infected, Recovered and Susceptible (SIRS) epidemic mathematical model. This generalization is based upon the nonlinear coupling of two frequencies in an infinite modal...

By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we study the existence, uniqueness and global exponential stability of periodic solutions for recurrent neural networks with impulsive perturbations and delays. Further, by using...

We study an impulsive delay differential predator–prey model with Holling type II functional response. The stability of the trivial equilibrium is analyzed by means of impulsive Floquet theory providing a sufficient condition for extinction. Using coincidence degree theory we show the...

Social scientists are not computer scientists, but their skills in the field have to become better and better to cope with the growing field of social simulation and agent based modelling techniques. A way to reduce the weight of software development is to employ generalised agent development...

We investigate a simple nonlinear model of economics to which strong multiplicative noise is added, and find two distinct generic control regimes. In the regime of noisy behavior, the application of the control is able to reduce noise only if the underlying periodicity is correctly taken into...

In dynamic economic models derived from optimization principles, the forward equilibrium dynamics may not be uniquely de…fined, while the backward dynamics is well de…fined. We derive properties of the global forward equilibrium paths based on properties of the backward dynamics. We propose...