On the Multispecies Delayed Gurtin-MacCamy Model-Reference-Cited by-同舟云学术

On the Multispecies Delayed Gurtin-MacCamy Model

Published:2013 Issue: Volume:2013 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Poskrobko Anna¹,Dawidowicz Antoni Leon²

Affiliation:

1. Faculty of Computer Science, Bialystok University of Technology, Ulica Wiejska 45A, 15-351 Białystok, Poland

2. Faculty of Mathematics and Computer Science, Jagiellonian University, Ulica Łojasiewicza 6, 30-348 Kraków, Poland

Abstract

The paper deals with the description of multispecies model with delayed dependence on the size of population. It is based on the Gurtin and MacCamy model. The existence and uniqueness of the solution for the new problem ofnpopulations dynamics are proved, as well as the asymptotical stability of the equilibrium age distribution.

Funder

Bialystok University of Technology

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/908768.pdf

Reference23 articles.

1. Interacting Age Structured Populations

2. Optimal Harvesting in an Age-Structured Predator–Prey Model

3. Control problems of an age-dependent predator-prey system

4. Bifurcating periodic solutions for a class of age-structured predator-prey systems

5. Functional response, numerical response, and stability in arthropod predator-prey ecosystems involving age structure

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Age-Structured Population Approach for the Mathematical Modeling of Urban Burglaries;SIAM Journal on Applied Dynamical Systems;2018-01