This paper describes several global bifurcatio diagrams for nonautonomous first order scalar ordinary differential equations generated by coercive third degree polynomials in the state variable. The conclusios are then applied to a population dynamics model subject to an Allee effect.
Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomus coefficients / Cinzia Elia, Roberta Fabbri, Carmen Nunez. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - ELETTRONICO. - (2025), pp. 1-33. [10.1016/j.jde.2025.113315]
Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomus coefficients
Roberta Fabbri;
2025
Abstract
This paper describes several global bifurcatio diagrams for nonautonomous first order scalar ordinary differential equations generated by coercive third degree polynomials in the state variable. The conclusios are then applied to a population dynamics model subject to an Allee effect.
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