Bifurcation analysis of an age-structured prey-predator model with infection developed in prey

被引：36

作者：

Bentout, Soufiane ^{[1
,2
]}

Djilali, Salih ^{[1
,3
]}

Atangana, Abdon ^{[4
]}

机构：

[1] Univ Tlemcen, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria

[2] Belhadj Bouchaib Univ Ctr Ain Temouchent, Dept Math & Informat, Ain Temouchent, Algeria

[3] Hassiba Benbouali Univ, Fac Exact & Comp Sci, Math Dept, Chlef, Algeria

[4] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, Bloemfontein, South Africa

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 03期

关键词：

age-structure; Hopf bifurcation; infectious prey; prey-predator model; HOPF-BIFURCATION; FUNCTIONAL-RESPONSE; EPIDEMIC MODEL; POPULATION; DISEASE; STABILITY;

D O I：

10.1002/mma.7846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we propose an age-structured prey-predator model with infection developed in the prey population. Our main goal is to distinguish the effect of the predator maturation measured by the age on the interaction between the predator and the prey, even on the spread of the infectious disease. However, it is obtained that the minimal maturation duration can affect the behavior of the solution, where it can lead to the existence of periodic solutions generated by the presence of Hopf bifurcation for three different equilibrium states. The obtained mathematical results are checked numerically using graphical illustrations.

引用

页码：1189 / 1208

页数：20

共 32 条

[1] Threshold dynamics of difference equations for SEIR model with nonlinear incidence function and infinite delay [J].