Effects of Intraspecific Competition Delay on Vegetation Periodic Oscillation Patterns

LI Jing; SUN Guiquan; JIN Zhen

doi:10.21656/1000-0887.420190

Volume 43 Issue 6

Jun. 2022

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LI Jing, SUN Guiquan, JIN Zhen. Effects of Intraspecific Competition Delay on Vegetation Periodic Oscillation Patterns[J]. Applied Mathematics and Mechanics, 2022, 43(6): 669-681. doi: 10.21656/1000-0887.420190

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Effects of Intraspecific Competition Delay on Vegetation Periodic Oscillation Patterns

doi: 10.21656/1000-0887.420190

LI Jing^1
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SUN Guiquan^{2, 3
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JIN Zhen^{3, 4
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1.
School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, P.R.China
2.
School of Science, North University of China, Taiyuan 030051, P.R.China
3.
Complex Systems Research Center, Shanxi University, Taiyuan 030006, P.R.China
4.
Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Taiyuan 030006, P.R.China

Received Date: 2021-07-06
Rev Recd Date: 2021-10-05

Available Online: 2022-04-24

Publish Date: 2022-06-30

Abstract

Abstract

Aimed at the phenomenon of competing for water resources between young vegetation and adult vegetation in arid and semi-arid areas, a vegetation-soil water dynamic model with intraspecfic competition delay was established. The conditions for the existence of an unique vegetation survival equilibrium and the local stability of the vegetation extinction equilibrium were analyzed. The generating conditions for Hopf bifurcating periodic solutions of non-spatial and spatial systems were given, respectively. The periodic oscillation pattern appearing in the vegetation evolution with time was numerically simulated. Through the parameter sensitivity analysis, the rainfall and the vegetation growth rate were found to have significant influences on the generation, the amplitude and the period of this pattern, while the effects of evaporation was found to be the least significant. The results indicate that, the rainfall and the vegetation properties have profound impacts on the evolution and development of vegetation in arid and semi-arid areas. The introduction of spatial diffusion inhibits the occurrence of this pattern, but doesn’t affect the amplitude and the period. The work explains the phenomenon of vegetation periodic oscillation widely observed in nature, and provides theoretical supports for the sustainable development of the vegetation system.
- vegetation-soil water model,
- intraspecific competition delay,
- Hopf bifurcating periodic solution,
- periodic oscillation pattern

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References(18)

References

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