Existence of the global solutions of an integro-differential equation in population dynamics

2017/02/26 by Dariusz Socha, Socha, Dariusz
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #math.AP

paper · pdf · doi:10.48550/arxiv.1702.08057

arxiv created 2017/02/26 · openalex publication_date 2017/02/26 · arxiv updated 2017/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a nonlinear integro-differential equation arising in population dynamics. It has been already proved by Rybka, Tang and Waxman that it has a unique local in time solution. Here, after deriving appropriate a priori estimates we show that the dynamics is global in time.

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