Periodic orbits for periodic eco-epidemiological systems with infected prey

被引：4

作者：

de Jesus, Lopo F. ^{[1
]}

Silva, Cesar M. ^{[1
]}

Vilarinho, Helder ^{[1
]}

机构：

[1] Univ Beira Interior, Ctr Matemat & Aplicacoes CMA UBI, Rua Marques dAvila & Bolama, P-6201001 Covilha, Portugal

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 54期

关键词：

eco-epidemiological model; existence; periodic; MODELS; DISEASES; PERSISTENCE; THRESHOLD;

D O I：

10.14232/ejqtde.2020.1.54

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the existence of periodic orbits for periodic eco-epidemiological system with disease in the prey for two distinct families of models. For the first one, we use Mawhin's continuation theorem in a wide general system that includes some models discussed in the literature, and for the second family we obtain a sharp result using a recent strategy that relies on the uniqueness of periodic orbits in the disease-free space.

引用

页码：1 / 20

页数：20

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