4 papers
A nonconservative kinetic framework for a closed-market society subject to shock events
Marco Menale, Ana Jacinta Soares, Romina Travaglini
Recently, several events have shockingly impacted society, carrying tough consequences. However, not all individuals are similarly affected by shock events. Among other factors, th…
A nonconservative kinetic model under the action of an external force field for modeling the medical treatment of autoimmune response
Marco Menale, Romina Travaglini
In this paper, we develop a nonconservative kinetic framework to be applied to the study of immune system dysregulation. From the modeling viewpoint, the model regards a system com…
A nonconservative kinetic framework with logistic growth for modeling the coexistence in a multi-species ecological system
Marco Menale, Carmelo Filippo Munafò, Francesco Oliveri
Kinetic theory frameworks are widely used for modeling stochastic interacting systems, where the evolution primarily depends on binary interactions. Recently, in this framework the…
Lotka-Volterra-type kinetic equations for interacting species
Andrea Bondesan, Marco Menale, Giuseppe Toscani +1
In this work, we examine a kinetic framework for modeling the time evolution of size distribution densities of two populations governed by predator-prey interactions. The model bui…