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Multiparameter Stochastic Dynamics of Ecological Tourism System with Continuous Visitor Education Interventions

机译：具有持续游客教育干预的生态旅游系统多参数随机动力学

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摘要

Management of ecological tourism in protected areas faces many challenges, with visitation-related resource degradations and cultural impacts being two of them. To address those issues, several strategies including regulations, site managements, and visitor education programs have been commonly used in China and other countries. This paper presents a multiparameter stochastic differential equation model of an Ecological Tourism System to study how the populations of stakeholders vary in a finite time. The solution of Ordinary Differential Equation of Ecological Tourism System reveals that the system collapses when there is a lack of visitor educational intervention. Hence, the Stochastic Dynamic of Ecological Tourism System is introduced to suppress the explosion of the system. But the simulation results of the Stochastic Dynamic of Ecological Tourism System show that the system is still unstable and chaos in some small time interval. The Multiparameters Stochastic Dynamics of Ecological Tourism System is proposed to improve the performance in this paper. The Multiparameters Stochastic Dynamics of Ecological Tourism System not only suppresses the explosion of the system in a finite time, but also keeps the populations of stakeholders in an acceptable level. In conclusion, the Ecological Tourism System develops steadily and sustainably when land managers employ effective visitor education intervention programs to deal with recreation impacts.
机译：保护区生态旅游的管理面临许多挑战，与旅游相关的资源退化和文化影响是其中两个。为了解决这些问题，中国和其他国家/地区普遍采用了包括法规，站点管理和访问者培训计划在内的几种策略。本文提出了一个生态旅游系统的多参数随机微分方程模型，以研究利益相关者群体在有限时间内的变化。生态旅游系统的常微分方程的解表明，当缺乏游客教育干预时，该系统崩溃。因此，引入生态旅游系统的随机动力学来抑制系统的爆炸性发展。但是，生态旅游系统随机动力学的仿真结果表明，该系统在很小的时间间隔内仍然不稳定且混乱。提出了生态旅游系统的多参数随机动力学方法，以提高系统的性能。生态旅游系统的多参数随机动力学不仅可以在有限的时间内抑制系统的爆炸，而且可以使利益相关者的数量保持在可接受的水平。总而言之，当土地管理人员采用有效的游客教育干预计划来应对休闲影响时，生态旅游系统将持续稳定发展。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第19期|968365.1-968365.9|共9页
  • 作者

    Wei Dongping; Zheng Qunming; Wen Shouwen;

  • 作者单位

    Shenzhen Polytech, Math & Phys Dept, Shenzhen 518055, Peoples R China;

    Hunan Normal Univ, Coll Tourism, Changsha 410081, Hunan, Peoples R China;

    Shenzhen Polytech, Sch Management, Shenzhen 518055, Peoples R China;

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