Work

Extinction, persistence and growing in a degenerate logistic model with impulses

Year: 2024

Type: article

Abstract: This paper deals with an impulsive degenerate logistic model, where pulses are introduced for modeling interventions or disturbances, and the degenerate logistic term may describe refugees or protections zones for a species. First, the principal eigenvalue depending on impulse rate, which is regarded as a threshold value, is introduced and characterized. Second, the asymptotic behavior of the population is fully investigated and sufficient conditions for the species to be extinct, persist, or grow unlimitedly are given. Our results extend those of the well-understood logistic and Malthusian models. Finally, numerical simulations emphasize our theoretical results, highlighting that a medium impulse rate is more favorable for species to persist, a small rate results in extinction, and a large rate leads the species to unlimited growth.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2024117

Authors: Willian Cintra, Zhigui Lin, Carlos Alberto Santos, Phyu Phyu Win

Institutions: Yangzhou University, Universidade de Brasília

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Life on land

Open Access status: diamond

Funders: National Natural Science Foundation of China, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Apoio à Pesquisa do Distrito Federal