Open AccessDynamics and bifurcations of a ratio-dependent predator-prey model
Author(s) -
Parisa Azizi,
Reza Khoshsiar Ghaziani
Publication year - 2022
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.