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| Author | Vera-Damian, Y.; Vidal, C.; Gonzalez-Olivares, E. | ||||
| Title | Dynamics and bifurcations of a modified Leslie-Gower-type model considering a Beddington-DeAngelis functional response | Type | |||
| Year | 2019 | Publication | Mathematical Methods In The Applied Sciences | Abbreviated Journal | Math. Meth. Appl. Sci. |
| Volume | 42 | Issue | 9 | Pages | 3179-3210 |
| Keywords | Beddington-DeAngelis functional response; Bogdanov-Takens bifurcation; homoclinic bifurcation; Hopf bifurcation; limit cycles; predator-prey model; stability | ||||
| Abstract | In this paper, a planar system of ordinary differential equations is considered, which is a modified Leslie-Gower model, considering a Beddington-DeAngelis functional response. It generates a complex dynamics of the predator-prey interactions according to the associated parameters. From the system obtained, we characterize all the equilibria and its local behavior, and the existence of a trapping set is proved. We describe different types of bifurcations (such as Hopf, Bogdanov-Takens, and homoclinic bifurcation), and the existence of limit cycles is shown. Analytic proofs are provided for all results. Ecological implications and a set of numerical simulations supporting the mathematical results are also presented. | ||||
| Address | [Vera-Damian, Yrina] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: edvera@alumnos.uai.cl | ||||
| Corporate Author | Thesis | ||||
Publisher  |
Wiley | Place of Publication | Editor | ||
| Language | English | Summary Language | Original Title | ||
| Series Editor | Series Title | Abbreviated Series Title | |||
| Series Volume | Series Issue | Edition | |||
| ISSN | 0170-4214 | ISBN | Medium | ||
| Area | Expedition | Conference | |||
| Notes | WOS:000467275100016 | Approved | |||
| Call Number | UAI @ eduardo.moreno @ | Serial | 998 | ||
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