EXISTENCE OF WAVE TRAINS FOR A DIFFUSIVE AGE-STRUCTURED PREDATOR-PREY MODEL WITH IVLEV-TYPE FUNCTIONAL RESPONSE

被引：2
作者：
Liu, Zhihua [1 ]
Li, Yajing [2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 06期
关键词：
Key words and phrases. Age structure; Diffusion; Non-densely defined Cauchy problem; Hopf bifurcation; Periodic wave trains; TRAVELING-WAVE; SYSTEM; EQUATIONS; INVASION;
D O I：
10.3934/dcdsb.2023195
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. A diffusive age-structured predator-prey model with Ivlev-type functional response is considered. Taking advantage of the Hopf bifurcation theorem for non-densely defined cauchy problem and the persistence of nondegenerate Hopf bifurcation for singularly perturbed second order equation, we prove the existence of periodic wave train solutions of our model. Finally, numerical simulations are carried out as supporting evidences of our analytical results.
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页码：2633 / 2649
页数：17
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