Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem

Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem

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Abstract By introducing a delayed fractional-order differential equation model, we deal with the dynamics of the stability and Hopf bifurcation of a paddy ecosystem with three Notebook main components: rice, weeds, and inorganic fertilizer.In the system, there exists an equilibrium for rice and weeds extinction and an equilibrium for rice extinction Medical and Ambulatory supplies / Wound Care or weeds extinction.We obtain sufficient conditions for the stability and Hopf bifurcation by analyzing their characteristic equation.

Some numerical simulations validate our theoretical results.