Dynamics of Tumor-Immune System with Random Noise

With deterministic differential equations, we can understand the dynamics of tumor-immune interactions. Cancer-immune interactions can, however, be greatly disrupted by random factors, such as physiological rhythms, environmental factors, and cell-to-cell communication. The present study introduces...

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Autores principales:	Fathalla A. Rihan, Chinnathambi Rajivganthi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	infectious diseases cancer-immune system steady states random noise stochastic differential equations Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/59f623a477c747c3906853f57904fc5e
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spelling	oai:doaj.org-article:59f623a477c747c3906853f57904fc5e2021-11-11T18:16:00ZDynamics of Tumor-Immune System with Random Noise10.3390/math92127072227-7390https://doaj.org/article/59f623a477c747c3906853f57904fc5e2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2707https://doaj.org/toc/2227-7390With deterministic differential equations, we can understand the dynamics of tumor-immune interactions. Cancer-immune interactions can, however, be greatly disrupted by random factors, such as physiological rhythms, environmental factors, and cell-to-cell communication. The present study introduces a stochastic differential model in infectious diseases and immunology of the dynamics of a tumor-immune system with random noise. Stationary ergodic distribution of positive solutions to the system is investigated in which the solution fluctuates around the equilibrium of the deterministic case and causes the disease to persist stochastically. In some conditions, it may be possible to attain infection-free status, where diseases die out exponentially with a probability of one. Some numerical simulations are conducted with the Euler–Maruyama scheme in order to verify the results. White noise intensity is a key factor in treating infectious diseases.Fathalla A. RihanChinnathambi RajivganthiMDPI AGarticleinfectious diseasescancer-immune systemsteady statesrandom noisestochastic differential equationsMathematicsQA1-939ENMathematics, Vol 9, Iss 2707, p 2707 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	infectious diseases cancer-immune system steady states random noise stochastic differential equations Mathematics QA1-939
spellingShingle	infectious diseases cancer-immune system steady states random noise stochastic differential equations Mathematics QA1-939 Fathalla A. Rihan Chinnathambi Rajivganthi Dynamics of Tumor-Immune System with Random Noise
description	With deterministic differential equations, we can understand the dynamics of tumor-immune interactions. Cancer-immune interactions can, however, be greatly disrupted by random factors, such as physiological rhythms, environmental factors, and cell-to-cell communication. The present study introduces a stochastic differential model in infectious diseases and immunology of the dynamics of a tumor-immune system with random noise. Stationary ergodic distribution of positive solutions to the system is investigated in which the solution fluctuates around the equilibrium of the deterministic case and causes the disease to persist stochastically. In some conditions, it may be possible to attain infection-free status, where diseases die out exponentially with a probability of one. Some numerical simulations are conducted with the Euler–Maruyama scheme in order to verify the results. White noise intensity is a key factor in treating infectious diseases.
format	article
author	Fathalla A. Rihan Chinnathambi Rajivganthi
author_facet	Fathalla A. Rihan Chinnathambi Rajivganthi
author_sort	Fathalla A. Rihan
title	Dynamics of Tumor-Immune System with Random Noise
title_short	Dynamics of Tumor-Immune System with Random Noise
title_full	Dynamics of Tumor-Immune System with Random Noise
title_fullStr	Dynamics of Tumor-Immune System with Random Noise
title_full_unstemmed	Dynamics of Tumor-Immune System with Random Noise
title_sort	dynamics of tumor-immune system with random noise
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/59f623a477c747c3906853f57904fc5e
work_keys_str_mv	AT fathallaarihan dynamicsoftumorimmunesystemwithrandomnoise AT chinnathambirajivganthi dynamicsoftumorimmunesystemwithrandomnoise
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Dynamics of Tumor-Immune System with Random Noise

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