Global warming is a problem that affects humanity; hence, crisis management in the face of natural events is necessary. The aim of the research was to analyze the passage of Hurricane Otis through Acapulco from the theoretical perspective of crisis management, to understand the socio-environmental, economic, and decision-making challenges. For data collection, content analysis and hemerographic review proved useful, complemented by theoretical contrastation. Findings revealed failures in communication by various government actors; the unprecedented growth of Hurricane Otis led to a flawed crisis management. Among the physical, economic, environmental, and social impacts, the latter stands out due to the humanitarian crisis overflow. It is the first time that Acapulco, despite having a tradition in risk management against hydrometeorological events, faces a hurricane of magnitude five on the Saffir-Simpson scale. Ultimately, the city was unprepared to face a category five hydrometeorological event; institutional responses were overwhelmed by the complexity of the crisis, and the community came together to improve its environment and make it habitable again.

Many financial crises have occurred in recent decades, such as the International Debt Crisis of 1982, the East Asian Economic Crisis of 1997–2001, the Russian economic crisis of 1992–1997, the Latin American debt Crisis of 1994–2002, the Global Economic Recession of 2007–2009, which had a strong impact on international relations. The aim of this article is to create an econometric model of the indicator for identifying crisis situations arising in stock markets. The approach under consideration includes data for preprocessing and assessing the stability of the trend of time series using higher-order moments. The results obtained are compared with specific practical situations. To test the proposed indicator, real data of the stock indices of the USA, Germany and Hong Kong in the period World Financial Crisis are used. The scientific novelty of the results of the article consists in the analysis of the initial and given initial moments of high order, as well as the central and reduced central moments of high order. The econometric model of the indicator for identifying crisis situations arising considered in the work, based on high-order moments plays a pivotal role in crisis detection in stock markets, influencing financial innovations in managing the national economy. The findings contribute to the resilience and adaptability of the financial system, ultimately shaping the trajectory of the national economy. By facilitating timely crisis detection, the model supports efforts to maintain economic stability, thereby fostering sustainable growth and resilience in the face of financial disruptions. The model’s insights can shape the national innovation ecosystem by guiding the development and adoption of monetary and financial innovations that are aligned with the economy’s specific needs and challenges.

Molan, an intangible cultural heritage of the Zhuang nationality in China, faces a crisis due to traditional communication and inheritance models. In the digital era, leveraging advanced digital technology is crucial for revitalizing this ancient heritage. From a communication theory perspective, this paper uses field investigation and applies the classic 5W communication model by Lasswell to deeply analyze the crisis facing Molan culture. Integrating the media evolution theory of Levinson, it explores the benefits and methodologies of digital dissemination for ancient intangible cultural heritage and proposes a digital communication model. The paper emphasizes adopting the PGC (Professional Generated Content) + UGC (User Generated Content) production model and strictly adhering to the “Content is King” principle. It advocates for models such as “Social Media + Molan,” “Short Video + Molan,” and “Algorithm + Molan” to enhance communication effectiveness. These viewpoints aim to revitalize and preserve Molan culture in the digital age.

The most important issue of economic development is the question of the real reasons for the growth of labor productivity based on innovative equipment and technologies or “closing technologies”, both directly and in the sphere of organization and management of economic systems. Organizational innovations can also be classified as “closing technologies”. For example, the creation of strategic institution, alliances and associations capable of changing the situation in the global economy, likely World Bank (WB), World Health Organization (WHO), International association Brazil, Russia, India, China, South Africa (BRICS) etc. This approach involves the formation of fundamental innovative solutions at all levels of the management hierarchy. The imperfection of the existing ideological and methodological paradigm, ignoring the mathematical constants of the Universe when designing economic supersystems or economic systems as integral distributed systems with complex dynamics similar to natural systems, the inefficiency of institutional intervention is the main reason for the impossibility of minimizing the structural and functional instability of the state economic system. The consequence of this is systemic violations and disproportions in the economy, risks associated with changes in the structure of the world economy and a colossal difference in the level of economic security of states and the phenomenon of crisis transfer.

This paper aims to show the crisis of contemporary criminal systems, however legislative excess of stipulating the penalty of imprisonment, as a penalty depriving freedom, while sometimes stipulating the penalty of imprisonment is mandatory, rather combining it with other penalties, and more than that, depriving the judge of his discretionary power in determining the punishment, this threatens the theory of individualized punishment in a fatal way, so as a result, prisons are overcrowded with inmates, which places a heavy burden on the state from an economic perspective that exhausts and drains its budget, while there is also a social cost of the prison sentence, paid by the prisoner’s family and close circle, moreover the greatest cost is the failure of the penal system to perform its role towards the prisoner by reforming and rehabilitating, therefore, this paper focuses on presenting the causes of the problem and its negative repercussions, trying to find some solutions, by presenting alternatives to the prison sentence, while expanding the view to include some criminal systems, such as the Islamic criminal system and its decision on the penalty of exile.