2016/08/16 by Vladimir Kozlov, Kozlov, Vladimir, Sonja Radosavljevic +6 · 1 citation
Mathematics · Medicine · #47B65 #47N60 #62P10 #Adaptation and Self-Organizing Systems (nlin.AO) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Stochastic processes and statistical mechanics #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1608.04492
openalex publication_date 2016/08/16 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28
We consider a system of nonlinear partial differential equations that\ndescribes an age-structured population living in changing environment on N\npatches. We prove existence and uniqueness of solution and analyze large time\nbehavior of the system in time-independent case, for periodically changing and\nfor irregularly varying environment. Under the assumption that every patch can\nbe reached from every other patch, directly or through several intermediary\npatches, and that net reproductive operator has spectral radius larger than\none, we prove that population is persistent on all patches. If the spectral\nradius is less or equal one, extinction on all patches is imminent.\n