scholarly journals The $C$-regularized semigroup method for partial differential equations with delays

2016 ◽  
Vol 36 (9) ◽  
pp. 5163-5181
Author(s):  
Xin Yu ◽  
Guojie Zheng ◽  
Chao Xu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Semigroup Method

Stability for a competing system of hierarchical age-structured populations

2020 ◽  
Vol 13 (07) ◽  
pp. 2050070
Author(s):  
Ze-Rong He ◽  
Nan Zhou
Keyword(s):  
Fixed Point ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Experiments ◽  
Structured Populations ◽  
Vital Rates ◽  
Partial Differential ◽  
Semigroup Method ◽  
Age Structured ◽  
The Stability

In this paper, we are concerned with the stability for a model in the form of system of integro-partial differential equations, which governs the evolution of two competing age-structured populations. The age-specified environment is incorporated in the vital rates, which displays the hierarchy of ages. By a non-zero fixed-point result, we show the existence of positive equilibria. Some conditions for the stability of steady states are derived by means of semigroup method. Furthermore, numerical experiments are also presented.

Sign in / Sign up

Export Citation Format

Share Document