Deterministic and Stochastic Mathematical Population Dynamics Models

ISBN-13: 9786202272148 / Angielski / Miękka / 2017 / 120 str.

Trong Hieu Nguyen

Opis

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.

O autorze

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.