References
[1] Algaba A, Domínguez-Moreno MC, et al. Takens Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. Commun Nonlinear Sci Numer Simul. 2016;30:328-343.
[2] Algaba A, Fernández-Sánchez F, et al. Centers on center manifolds in the Lorenz, Chen and Lü systems. Commun Nonlinear Sci Numer Simul. 2014;19:772-775.
[3] Kuznetsov YA. Practical computation of normal forms on center manifolds at degenerate Bogdanov-Takens bifurcations. Int J Bifurcat Chaos. 2011;15:3535-3546.
[4] Brauer F, Soudack AC. Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. J Math Biol. 1982;12:101-114. doi:10.1007/bf00275206.
[5] Wang S, Yu H. Equilibria and Bogdanov-Takens bifurcation analysis in the Bazykin’s predator-prey system. Discrete Dyn Nat Soc. 2022;3:1-30.
[6] Lv Y. Bogdanov Takens bifurcation for a diffusive predator prey system with nonlocal effect and prey refuge. Z Angew Math Phys. 2023.
[7] Liu Y, Liu Z, Wang R. Bogdanov-Takens bifurcation with codimension three of a predator-prey system suffering additive the Allee effect. Int J Biomath. 2016.
[8] Xue C, Liu X. Chaos and bifurcations of Leslie Gower food chain with strong Allee effect. Discrete Dyn Nat Soc. 2015;3:1-9.
[9] Chow SN, Li C, Wang D. Normal Forms and Bifurcation of Planar Vector Fields. Cambridge: Cambridge University Press; 1994. doi:10.1017/cbo9780511665639.
[10] Kuznetsov YA. Elements of Applied Bifurcation Theory. 2nd ed. New York: Springer Verlag; 1998.
[11] Dobie AP. Manipulating the Hopf and generalized Hopf bifurcations in an epidemic model via Braga’s methodology. Int J Bifurcat Chaos. 2025.
[12] Fahad AB, Sudip S, Pankaj KT. Bistability, generalized and zero Hopf bifurcations in a pest control model with farming awareness. J Biol Syst. 2023.
[13] Dhooge A, Govaerts W, Kuznetsov YA. MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. ACM Trans Math Softw. 2003;29:141-164.
doi:10.1145/779359.779362.
[14] Doedel EJ, Champneys AR, Fairgrieve TF, Kuznetsov YA, Sandstede B, Wang XJ. Auto97-Auto2000: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), User’s Guide. Montreal: Concordia University; 2000.
[15] Govaerts WJF. Numerical Methods for Bifurcations of Dynamical Equilibria. Philadelphia: Society for Industrial and Applied Mathematics; 2000. doi:10.1137/1.9780898719543.
[16] Engelborghs K, Luzyanina T, Roose D. Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM Trans Math Softw. 2002;28:1-21.
doi:10.1145/513001.513002.
[17] Engelborghs K, Luzyanina T, Samaey G. DDE-BIFTOOL v. 2.00: A MATLAB Package for Bifurcation Analysis of Delay Differential Equations. Technical report, Department of Computer Science, K.U. Leuven; 2001.