In this work, we consider the dynamic properties of a class of hydrological model with time delay under fire disturbance. The stability of the equilibrium for the model, and the existence of the Hopf bifurcation are analyzed. Moreover, the direction of the Hopf bifurcation, and the stability of these periodic solutions bifurcating are derived based on the normal form and the center manifold theory. Then, the sensitivities of fire intensity and fire frequency to soil water, trees, and grasses are analyzed by the Runge-Kutta method. The result is that, fire frequency has a more significant effect on the hydrological and ecological cycle compared with fire intensity. Finally, we analyze the effect of time delay on the hydrological model through numerical simulations.
Publications
- Article type
- Year
Article type
Year
Open Access
Research Article
Issue
Electronic Research Archive 2022, 30(9): 3290-3319
Published: 15 September 2022
Downloads:1
Total 1
京公网安备11010802044758号