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The Stochastic Dynamics for Ecological Tourism System with Visitor Educational Intervention

机译：访客教育干预下生态旅游系统的随机动力学。

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摘要

The ever-increasing visitation in parks and protected areas continues to present a considerable challenge for worldwide land managers with allowing recreational use while preserving natural conditions. In China, the fast expanding visitation in protected areas is quickly damaging the natural resources and precious culture without effective visitor education, while regulation and site management are also gaining very limited efficacy. We propose a differential equation to describe the ecological tourism system. Shown by the theoretical proof and numerical simulation, the ecological tourism system is unstable without any perturbed factors, especially visitor educational intervention, because the solution of the dynamic system explodes in a finite time given any initial value. Supposing that the intrinsic increasing rate of stakeholders in the systems stochastically perturbed by the visitor educational intervention, we discover that the stochastic dynamic model can effectively suppress the explosion of the solution. As such, we demonstrate that the tourism system can develop steadily and safely even under a large amount of visitors in public vacation, when employing continuous visitor education intervention programmes.
机译：在保护自然条件的同时，在允许休闲娱乐的同时，公园和保护区游客的不断增加对世界各地的土地管理者构成了巨大的挑战。在中国，在没有有效的游客教育的情况下，保护区游客人数的迅速增加正在迅速破坏自然资源和珍贵文化，而法规和场所管理的功效也非常有限。我们提出了一个微分方程来描述生态旅游系统。通过理论证明和数值模拟表明，生态旅游系统是不稳定的，没有任何干扰因素，尤其是游客的教育干预，因为动态系统的解在给定任何初始值的有限时间内都会爆炸。假设系统中利益相关者的内在增长率受到访客教育干预的随机扰动，我们发现随机动态模型可以有效地抑制解决方案的爆炸式增长。因此，我们证明，在采用连续游客教育干预计划的情况下，即使在公共假期有大量游客的情况下，旅游系统也可以稳定，安全地发展。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第7期|617608.1-617608.9|共9页
  • 作者

    Dongping Wei; Shouwen Wen; Yizeng Chen; Yong Xu; Bing Liang;

  • 作者单位

    School of Management, Shanghai University, Shanghai 200444, Shanghai, China,Math and Physics Department, Shenzhen Polytechnic, Shenzhen 518055, Guangdong, China;

    School of Management, Shenzhen Polytechnic, Shenzhen 518055, Guangdong, China;

    School of Management, Shanghai University, Shanghai 200444, Shanghai, China;

    School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075, Hunan, China;

    Math and Physics Department, Shenzhen Polytechnic, Shenzhen 518055, Guangdong, China;

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