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Video
Models arising in biology are often written in terms of Ordinary Differential Equations. The celebrated paper of Kermack-McKendrick (19271, founding mathematical epidemiology, showed the necessity to include parameters in order to describe the state of the individuals, as time elapsed after infection. During the 70s, many mathematical studies were developed when equations are structured by age, size, more generally a physiological trait. The renewal, growth-fragmentation are the more standard equations. The talk will present structured equations, show that a universal generalized relative entropy structure is available in the linear case, which imposes relaxation to a steady state under non-degeneracy conditions. In the nonlinear cases, it might be that periodic solutions occur, which can be interpreted in biological terms, e.g., as network activity in the neuroscience. When the equations are conservation laws, a variant of the Monge-Kantorovich distance (called Fortet-Mourier distance) also gives a general non-expansion property of solutions.
Event date: 19/1/2023
Speaker: Prof. Benoît Perthame (Sorbonne University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics and Biology
- Keywords:
- Biomathematics Equations
- Resource Type:
- Video
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Others
The case of Park Hyatt Hotel shows that combining the cart service of Canton tea restaurant and Western-style afternoon tea through innovative product forms, which were loved and booked by guests.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Restaurants -- Marketing Hospitality industry -- Marketing Hotels -- Marketing
- Resource Type:
- Others
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Others
The case of Westlake State Guesthouse demonstrates that through various marketing strategies such as rebranding, VI design, quality control, cross-border cooperation, and starvation marketing, Longjing tea was successfully branded as a luxury brand.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- China -- West Lake Hospitality industry -- Marketing Tourism Hotels -- Marketing
- Resource Type:
- Others
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Others
The case of Xue-Gao Zhong demonstrates the successful creation of cream brand through digital marketing, price positioning and target positioning, and word-of-mouth marketing, co-branding, and the KOL effect to attract the attention of the target customer group.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Bring (Marketing) Ice cream ices etc. -- Marketing
- Resource Type:
- Others
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Others
The Shanghai Millennium Seagull Hotel case demonstrates the analysis of market demand and the application of SWOT theory and successfully launched the M Chalet product, which meets customers' needs for closeness to nature, privacy, and sanitary conditions while increasing the utilization of the garden and F&B revenue.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Restaurants -- Marketing Hospitality industry -- Marketing COVID-19 (Disease) -- Economic aspect Hotels -- Marketing
- Resource Type:
- Others
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Others
This case study demonstrates the successful use of the blind box concept and revenue management strategies to increase spa revenue by bundling spa sales with guest rooms and food and beverage at the Shanghai Jianye Li Capella Hotel.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Hospitality industry -- Marketing Hotels -- Marketing Health resorts -- Marketing
- Resource Type:
- Others
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Others
The case of Wuzhen demonstrates the successful building of a tourism brand through marketing strategies such as public relations promotion and celebrity effects, ticket pricing strategies, and product differentiation, which attracts many tourists and achieves both economic and social benefits.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Villages Tourism -- Marketing Tourism China -- Tongxiang Xian (Zhejiang Sheng)
- Resource Type:
- Others
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Others
This case demonstrates that Zhengzhou Zhengfang Yuan International Hotel has innovated and enriched its products by integrating health concepts into its hotel services, taking the path of differentiated operation, and developing the idea of a wellness hotel.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Hospitality industry -- Marketing Hotels -- Marketing
- Resource Type:
- Others
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Others
The case of Zhuhai Bay Hotel Chinese Restaurant demonstrates the adoption of an integrated marketing strategy to successfully launch a spike campaign through identifying consumer demand and interactive marketing on multiple platforms, which has achieved good sales results and customer reputation. Still, it faces challenges regarding raw material costs and product reputation.
- Subjects:
- Marketing and Hotel, Travel and Tourism
- Keywords:
- Restaurants -- Marketing Hospitality industry -- Marketing Hotels -- Marketing
- Resource Type:
- Others
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Others
The case of Blossom Hill Inn Suzhou Tanhuafu demonstrates the process of using intangible cultural heritage and historical background to attract candidates to stay and prepare for exams and the launch of the "Talent Room" product, which has received a market response.
- Subjects:
- Hotel, Travel and Tourism and Marketing
- Keywords:
- Target marketing Hotels -- Marketing Hospitality industry -- Marketing
- Resource Type:
- Others