Dynamics and bifurcations of a ratio-dependent predator-prey model | Zendy

Parisa Azizi | Zendy; Reza Khoshsiar Ghaziani | Zendy

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Dynamics and bifurcations of a ratio-dependent predator-prey model

Author(s) -

Parisa Azizi,

Reza Khoshsiar Ghaziani

Publication year - 2021

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.41174

Subject(s) - hopf bifurcation , numerical continuation , mathematics , formalism (music) , bifurcation , predation , limit cycle , continuation , control theory (sociology) , predator , limit (mathematics) , mathematical analysis , ecology , physics , computer science , biology , nonlinear system , art , musical , visual arts , control (management) , quantum mechanics , artificial intelligence , programming language

In this paper, we study a ratio-dependent predator-prey model with modied Holling-Tanner formalism, by using dynamical techniques and numerical continuation algorithms implemented in Matcont. We determine codim-1 and 2 bifurcation points and their corresponding normal form coecients. We also compute a curve of limit cycles of the system emanating from a Hopf point.

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