Some results on predatorprey and competitive population dynamics
28/04/2021 Wednesday 28th April 2021, 16:00 ()
More
Carlota Rebelo, Departamento de Matemática FCUL and CEMAT, Lisboa, Portugal
Mathematical analysis is a useful tool to give insights in very different mathematical biology problems. In this talk we will consider predatorprey and competition population dynamics models. We will give an overview of recent results in the case of seasonally forced models not entering in technical details. First of all we consider predatorprey models with or without Allee effect and prove results on extinction or persistence. We will give some examples such as models including competition among predators, preymesopredatorsuperpredator models and LeslieGower systems. When Allee effect is considered, we deal with the cases of strong and weak Allee effect. Then we consider competition models of two species giving conditions for the extinction of one or both species and for coexistence. This talk is based in joint works with I. Coelho, M. Garrione, C. Soresina and E. Sovrano. References: [1] I. Coelho and C. Rebelo, Extinction or coexistence in periodic Kolmogorov systems of competitive type, submitted. [2] M. Garrione and C. Rebelo, Persistence in seasonally varying predatorprey systems via the basic reproduction number, Nonlinear Analysis: Real World Applications, 30, (2016) 7398. [3] C. Rebelo and C. Soresina, Coexistence in seasonally varying predatorprey systems with Allee effect, Nonlinear Anal. Real World Appl. 55 (2020), 103140, 21 pp.
