Construction of digital cultural tourism integration holiday system based on differential equation model

This paper first discusses the new mode of digital technology to boost the culture and tourism integration vacation industry and analyzes the specific application of digital technology in the culture and tourism integration vacation. Secondly, the index evaluation system is constructed with the goal...

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Main Author: Xu Linqiang
Format: Article
Language:English
Published: Sciendo 2024-01-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2023.2.01080
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author Xu Linqiang
author_facet Xu Linqiang
author_sort Xu Linqiang
collection DOAJ
description This paper first discusses the new mode of digital technology to boost the culture and tourism integration vacation industry and analyzes the specific application of digital technology in the culture and tourism integration vacation. Secondly, the index evaluation system is constructed with the goal of vacation destination competitiveness, and the gray time-lag prediction model is constructed by introducing the time-lag differential equation model combined with the gray correlation degree and the GM(1,1) model. Finally, an empirical analysis of competitiveness prediction was conducted to confirm the effectiveness of the gray time-lag prediction model. The results show that the tourism resource product has the highest comprehensive relevance, with a score of 0.9254, respectively. The use of the gray time lag prediction model can realize the prediction of the competitiveness score of the vacation destination and provide effective data support for the construction of a digital culture and tourism integration vacation system. This shows that the time-lag differential equation combined with the gray prediction model can be used to analyze the competitiveness score of the vacation destination, promote the deep integration of culture and tourism industry, and create a vacation system that better meets the expectations of tourists.
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spelling doaj.art-035d6f147e224d0b81cb13ab6b5538c42024-01-29T08:52:39ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562024-01-019110.2478/amns.2023.2.01080Construction of digital cultural tourism integration holiday system based on differential equation modelXu Linqiang01School of International Culture and Tourism, Hangzhou City University, Hangzhou, Zhejiang, 310000, China.This paper first discusses the new mode of digital technology to boost the culture and tourism integration vacation industry and analyzes the specific application of digital technology in the culture and tourism integration vacation. Secondly, the index evaluation system is constructed with the goal of vacation destination competitiveness, and the gray time-lag prediction model is constructed by introducing the time-lag differential equation model combined with the gray correlation degree and the GM(1,1) model. Finally, an empirical analysis of competitiveness prediction was conducted to confirm the effectiveness of the gray time-lag prediction model. The results show that the tourism resource product has the highest comprehensive relevance, with a score of 0.9254, respectively. The use of the gray time lag prediction model can realize the prediction of the competitiveness score of the vacation destination and provide effective data support for the construction of a digital culture and tourism integration vacation system. This shows that the time-lag differential equation combined with the gray prediction model can be used to analyze the competitiveness score of the vacation destination, promote the deep integration of culture and tourism industry, and create a vacation system that better meets the expectations of tourists.https://doi.org/10.2478/amns.2023.2.01080digital cultural and tourism integrationdifferential equationsgm(1,1) modelgray time lag predictionintegrated correlation68t05
spellingShingle Xu Linqiang
Construction of digital cultural tourism integration holiday system based on differential equation model
Applied Mathematics and Nonlinear Sciences
digital cultural and tourism integration
differential equations
gm(1,1) model
gray time lag prediction
integrated correlation
68t05
title Construction of digital cultural tourism integration holiday system based on differential equation model
title_full Construction of digital cultural tourism integration holiday system based on differential equation model
title_fullStr Construction of digital cultural tourism integration holiday system based on differential equation model
title_full_unstemmed Construction of digital cultural tourism integration holiday system based on differential equation model
title_short Construction of digital cultural tourism integration holiday system based on differential equation model
title_sort construction of digital cultural tourism integration holiday system based on differential equation model
topic digital cultural and tourism integration
differential equations
gm(1,1) model
gray time lag prediction
integrated correlation
68t05
url https://doi.org/10.2478/amns.2023.2.01080
work_keys_str_mv AT xulinqiang constructionofdigitalculturaltourismintegrationholidaysystembasedondifferentialequationmodel