Dynamic analysis for a class of hydrological model with time delay under fire disturbance
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 thes...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022167?viewType=HTML |
| _version_ | 1811334303736397824 |
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| author | Rina Su |
| author_facet | Rina Su |
| author_sort | Rina Su |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T17:06:51Z |
| format | Article |
| id | doaj.art-2c98dda83f554259ba01030cd7f83ebf |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-13T17:06:51Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-2c98dda83f554259ba01030cd7f83ebf2022-12-22T02:38:27ZengAIMS PressElectronic Research Archive2688-15942022-07-013093290331910.3934/era.2022167Dynamic analysis for a class of hydrological model with time delay under fire disturbanceRina Su 0College of Mathematics and Physics, Inner Mongolia Minzu University, Tongliao 028043, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/era.2022167?viewType=HTMLhydrological modehopf bifurcationtime delayfiresensitivity analysis |
| spellingShingle | Rina Su Dynamic analysis for a class of hydrological model with time delay under fire disturbance Electronic Research Archive hydrological mode hopf bifurcation time delay fire sensitivity analysis |
| title | Dynamic analysis for a class of hydrological model with time delay under fire disturbance |
| title_full | Dynamic analysis for a class of hydrological model with time delay under fire disturbance |
| title_fullStr | Dynamic analysis for a class of hydrological model with time delay under fire disturbance |
| title_full_unstemmed | Dynamic analysis for a class of hydrological model with time delay under fire disturbance |
| title_short | Dynamic analysis for a class of hydrological model with time delay under fire disturbance |
| title_sort | dynamic analysis for a class of hydrological model with time delay under fire disturbance |
| topic | hydrological mode hopf bifurcation time delay fire sensitivity analysis |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022167?viewType=HTML |
| work_keys_str_mv | AT rinasu dynamicanalysisforaclassofhydrologicalmodelwithtimedelayunderfiredisturbance |