Memory has a great impact on the evolution of every process related to human societies.
Among them, the evolution of an epidemic is directly related to the individuals' experiences …

We present a short review of the evolution of the methodology of the Method of simplest
equation for obtaining exact particular solutions of nonlinear partial differential equations …

A model for ideological struggles is formulated. The underlying set is a closed one, like a
country but in which the population size is variable in time. The dynamics of the struggle is …

Balance theory proposed by Heider for the first time modeled triplet interaction in a signed
network, stating that relationships between two people, friendship or enmity, is dependent …

In many social complex systems, in which agents are linked by non-linear interactions, the
history of events strongly influences the whole network dynamics. However, a class of …

Through the mathematical study of two models we quantify some of the theories of co-
development and co-existence of focused groups in the social sciences. This work attempts …

A multiagent based model for a system of cooperative agents aiming at growth is proposed.
This is based on a set of generalized Verhulst-Lotka-Volterra differential equations. In this …

Abstract Agent Based Modeling (ABM) has become a widespread approach to model
complex interactions. In this chapter after briefly summarizing some features of ABM the …

This technical note investigates the survival problem for the generalized Verhulst-Lotka-
Volterra (VLV) model with cooperative and competitive interactions. First, we consider the …

We consider the system of the Rosenzweig-MacArthur equations with one consumer and
two resources. Recently, the model has been generalized by including an optimization of the …