Analysis of an Epidemic Mathematical Model Based on Delay
Differential Equations

A continuous-discrete stochastic model of the epidemic process is presented. The model takes into account several stages of the development of an infectious disease, as well as the distributions of the durations of stay of individuals in these stages. The variables of the model are integer random variables that denote the quantity of individuals in cohorts, and sets of unique types of individuals that take into account the current state and history of stay of individuals in the stages of development of an infectious disease, distributions of durations of these stages are different from exponential or geometric. The results of an analytical and numerical research of the dynamics of the epidemic process are presented. The probabilities of infection eradication during a finite period of time are examined, depending on the numerical values of the infection spread coefficient and the distributions of the durations of the latent stage of the disease and the stage of preservation of immunity to infection.

show abstract

Stochastic Modeling of the Epidemic Process Based On a Stage-Dependent Model with Non-Markov Constraints for Individuals

Pertsev¹,

Топчий²,

Loginov³

2023

Math.Biol.Bioinf.

View full text Add to dashboard Cite

show abstract

Решения Линейных Начально-Краевых Задач Реакционно-Диффузионного Типа С Запаздыванием

Полянин,

Сорокин

2023

Вестник

View full text Add to dashboard Cite

Рассматриваются линейные одномерные уравнения реакционно-диффузионного типа с постоянным запаздыванием. Описаны точные решения таких уравнений, которые выражаются в элементарных функциях. Получены решения в замкнутом виде соответствующих начально-краевых задач с общими начальными данными и граничными условиями первого, второго и третьего рода, а также смешанными краевыми условиями.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Analysis of an Epidemic Mathematical Model Based on Delay Differential Equations

Cited by 2 publications

References 15 publications

Stochastic Modeling of the Epidemic Process Based On a Stage-Dependent Model with Non-Markov Constraints for Individuals

Stochastic Modeling of the Epidemic Process Based On a Stage-Dependent Model with Non-Markov Constraints for Individuals

Решения Линейных Начально-Краевых Задач Реакционно-Диффузионного Типа С Запаздыванием

Contact Info

Product

Resources

About