Deterministic and Stochastic Mathematical Population Dynamics Models

We consider mathematical population dynamics models in deterministic and stochastic environments. For deterministic environments, we study three models: an intraguild model with the effects of spatial heterogeneous environment and fast migration of individuals; a fishery model with Marine Protected Area where fishing is prohibited and an area where the fish population is harvested; a predator-prey model which has one prey and two predators with Beddington-DeAngelis functional responses. For stochastic environments, we study SIRS epidemic model and predator-prey models under telegraph noise. We try to present the dynamical behavior of these models and show out the existence or vanishing of species in the models.

Autorentext

PhD in mathematics at Paris 6 University and Institute of Research for Development - Bondy, France.Postdoc at Vietnam Institute for Advanced Study in Mathematics.Lecturer at Faculty of Mathematics - Mechanics - Informatics, Hanoi University of Science, Vietnam National University.Major research areas: applied mathematics, biomathematics.