В данной статье рассмотрены основы использования ветвящихся процессов для моделирования распространения инфекционных заболеваний и предложена более сложная модель, учитывающая переменную заразность, наличие иммунных индивидов, структуры сетей контактов, гетерогенность индивидов и вмешательства общественного здравоохранения. Анализируя влияние различных факторов, таких как вакцинация и социальное дистанцирование, данная модель позволяет более точно предсказать динамику эпидемического процесса и оценить эффективность контроля и предотвращения эпидемий.

Maqolada bo‘lajak boshlang‘ich ta’lim o‘qituvchilarining faoliyatida yani boshlang‘ich sing o‘quvchilarining ta’lim, tarbiyasini shakllantirishda va shaxs sifatida rivojlantirishda raqamli texnologiyalardan foydalanishning o‘rni, pedagogik dasturiy vositalarni qo‘llagan holda o‘qitish samaradorligini oshirish usullari tahlil qilingan.

This article examines how the integration of contemporary technology in education influences the mental and academic performance of students. The absence of access to technology may restrict students from fulfilling homework tasks, conducting research, and engaging with teachers and peers. Moreover, individuals deprived of technological resources might struggle to acquire the digital literacy proficiencies crucial for navigating today's professional landscape.

In this article, the sociological analysis of public opinion in our Republic will be covered philosophically. Also, in this article, reflections on the personal mentality of a person and his place in the state are given and philosophically interpreted.

This article discusses the importance of listening skills and some problems related to understanding legal concept for the students of law. Moreover, researches and strategies by foreign scientist and professionals on improving listening and understanding legal terminology also using them in real situations are explored in the article.