Dynamics of a tourism sustainability model with distributed delay

Kaslik, Eva; Neamţu, Mihaela

doi:10.1016/j.chaos.2020.109610

Cited by 10 publications

(7 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To collect accurate data, a field survey was carried out on the DNFP, using section timing method. The research team visited the local statistics authority, and conduced field investigation and research, referring to The Yearbook of China Tourism Statistics 2018 and the development status of scenic spots in similar national forest parks [19][20][21][22]. The collected data were sorted and screened, leaving only those meeting the development status of the scenic spot.…”

Section: Methodsmentioning

confidence: 99%

Evaluation of Tourism Environmental Carrying Capacity in Diaoshuihu National Forest Park

Wang¹,

Li²,

Zhang³

2020

IJSDP

View full text Add to dashboard Cite

In recent years, rural tourism has become a hot topic in the academia. Many researchers have proposed to alleviate the poverty of farmers and revitalize rural areas through rural tourism. This paper fully quantifies the tourism environmental carrying capacity (TECC) of Diaoshuihu National Forest Park (DNFP), and evaluates the current status of rural tourism near the scenic spot. Four criteria were selected according to the actual situation of the scenic spot. The TECC of the DNFP was evaluated by Pascal's Principle and then through analytic hierarchy process (AHP). Based on the evaluation results, several suggestions were put forward to promote the scenic spot-based rural tourism in and around the DNFP. The results show that the TECC of the DNFP was 6,160 persons, the annual TECC was 985,600 person/year, indicating that the scenic spot is under weak load. The local government is advised to optimize the design and implementation of DNFP-based rural tourism from four aspects: enhancing the integration between scenic spot and nearby villages, rationalizing the income distribution system, training talents for scenic spot-based rural tourism, and stepping up government guidance on rural tourism. The research results provide a reference for similar cases of scenic spot-driven rural tourism.

show abstract

Section: Methodsmentioning

confidence: 99%

Evaluation of Tourism Environmental Carrying Capacity in Diaoshuihu National Forest Park

Wang¹,

Li²,

Zhang³

2020

IJSDP

View full text Add to dashboard Cite

show abstract

“…Besides, Sinay and Sinay [5] also introduced another model that focused on the effect of the growth of tourism on the environment's quality. Recently, Kaslik and Neamtu [6] generalized the model by Casagrandi and Rinaldi [2] by developing a mathematical model of a given generic touristic site to reflect the number of tourists and their influence on the environment and capital flow. In accordance with the profitability and sustainability of the tourism policy, Kaslik and Neamtu [6] concluded that asymptotic stability of the positive equilibrium is desired, reflecting that a lower attractivity of the touristic site and a higher investment rate should be strongly correlated with the number of tourists from a recent past.…”

Section: Tourism Sustainability Dynamics Modelmentioning

confidence: 99%

“…Recently, Kaslik and Neamtu [6] generalized the model by Casagrandi and Rinaldi [2] by developing a mathematical model of a given generic touristic site to reflect the number of tourists and their influence on the environment and capital flow. In accordance with the profitability and sustainability of the tourism policy, Kaslik and Neamtu [6] concluded that asymptotic stability of the positive equilibrium is desired, reflecting that a lower attractivity of the touristic site and a higher investment rate should be strongly correlated with the number of tourists from a recent past. Since Kaslik and Neamtu [6] considered the time delay in the original model, it can be concluded that most previous research studies the relationship between tourists and the environment.…”

Section: Tourism Sustainability Dynamics Modelmentioning

confidence: 99%

A Mathematical Model to Assess the Impact of Tourism Activities on the Economy of Vendors at Bukit Maras, Terengganu, Malaysia

Mohd Roslan,

Noor Hassim,

Mhd Ruslan

2024

Mal. J. Fund. Appl. Sci.

View full text Add to dashboard Cite

Bukit Maras is one of the recreational spots that has been identified as having great potential to be promoted as a tourist destination in Terengganu. In this study, it is intriguing to see the whether the tourism activities that occurred at Bukit Maras have a positive impact on the economic activity of the local vendors from the point of view of mathematical modelling. The objective of this paper is to formulate a mathematical model in the form of ordinary differential equations (ODEs), inspired by the concept of symbiosis interaction in ecology. Further, some mathematical analyses of this model such as finding the steady states and their stability, were also proved. In addition, some numerical simulations are performed using Maple software to produce the plots of time series as well as phase portraits. To prove the positive impact of the presence of tourists on the economics of vendors, a parameter called the spending rate by the tourists was varied. The results showed that as the spending rate increased, it was expected that the number of vendors would increase too. This indicated that the economics of the vendors have improved. Moreover, it is also predicted that the number of tourists will continuously increase in the future, provided that the attractiveness factors of the Bukit Maras are well preserved. These results are significant for the local government to provide more funding for the development of Bukit Maras so that both tourists and vendors can be sustained in the future.

show abstract

“…Casagrandi and Rinaldi's model was likely one of the first works that related the notion of sustainability with structural properties of stable equilibria points. From the dynamical systems perspective, other authors have analyzed how the forest resources and the wildlife are affected by the tourists (Afsharnezhad & Monfared, 2017; Behjaty & Monfared, 2019; Casagrandi & Rinaldi, 2004; Diop & Sène, 2016, 2018; Kaslik & Neamtu, 2020; Lacitignola et al, 2007; Monfared et al, 2016). Through these models, it can be concluded that these socioecological systems might present sustainable scenarios of the coexistence of tourists and nature.…”

Section: Introductionmentioning

confidence: 99%

Catastrophic or sustainable scenarios might occur when the carrying capacities of a tourism‐based socioecological system vary

Villavicencio-Pulido

Vázquez–Hipólito

García‐Cruz

2022

Natural Resource Modeling

View full text Add to dashboard Cite

In this work, we propose a socioecological model to describe the effects of visiting tourists in biological attractive sites. We model conditioned interactions between the forest resources and the wildlife with the tourists. This allows us to describe the net benefits-costs rates that the species and their habitats receive from the interaction with tourists. We show that when a scenario of sustainable tourism exists, it is always at risk. This occurs because there is at least a component of the socioecological system that can go to zero when the initial conditions belong to the basin of attraction of a border equilibrium. However, a sustainable equilibrium can be reached when the initial conditions belong to the basin of attraction of a positive attractor. The analysis of the model shows that increasing the tourism carrying capacities can lead to different dynamical patterns. Sometimes, these patterns describe scenarios of unsustainable tourism. When this is the case, by decreasing the negative impact due to the nature and wildlife-based tourism industry, a tourism sustainability can be reached.

show abstract

Dynamics of a tourism sustainability model with distributed delay

Cited by 10 publications

References 20 publications

Evaluation of Tourism Environmental Carrying Capacity in Diaoshuihu National Forest Park

Evaluation of Tourism Environmental Carrying Capacity in Diaoshuihu National Forest Park

A Mathematical Model to Assess the Impact of Tourism Activities on the Economy of Vendors at Bukit Maras, Terengganu, Malaysia

Catastrophic or sustainable scenarios might occur when the carrying capacities of a tourism‐based socioecological system vary

Contact Info

Product

Resources

About