arXiv Open Access 2020

Periodic orbits for periodic eco-epidemiological systems with infected prey

L. de Jesus C. M. Silva H. Vilarinho

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Abstrak

We address the existence of periodic orbits for periodic eco-epidemiological system with disease in the prey. To do it, we consider three main steps. Firstly we study a one parameter family of systems and obtain uniform bounds for the components of any periodic solution of these systems. Next, we make a suitable change of variables in our family of systems to establish the setting where we are able to apply Mawhin's continuation Theorem. Finally, we use Mawhin's continuation Theorem to obtain our result. Later on, we present two examples that include previous results in the literature and some numerical simulations to illustrate our results.

Topik & Kata Kunci

math.DS q-bio.PE

Penulis (3)

L. de Jesus

C. M. Silva

H. Vilarinho

Format Sitasi

APA MLA BibTeX

Jesus, L.d., Silva, C.M., Vilarinho, H. (2020). Periodic orbits for periodic eco-epidemiological systems with infected prey. https://arxiv.org/abs/2003.05697

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓