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Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part II.
- Source :
-
Journal of mathematical analysis and applications [J Math Anal Appl] 2022 Nov 15; Vol. 515 (2). Date of Electronic Publication: 2022 Jun 23. - Publication Year :
- 2022
-
Abstract
- In part II, we analyze our stochastic model which incorporates microenvironmental noises and uncertainties related to immune responses. Outcomes of the therapy in our model are largely determined by the infectivity constant, the infection value, and stochastic relative immune clearance rates. The infection value is a universal critical value for immune-free ergodic invariant probability measures and persistence in all cases. Asymptotic behaviors of the stochastic model are similar to those of its deterministic counterpart. Our stochastic model displays an interesting dynamical behavior, stochastic Hopf bifurcation without parameters, which is a new phenomenon. We perform numerical study to demonstrate how stochastic Hopf bifurcation without parameters occurs. In addition, we give biological implications about our analytical results in stochastic setting versus deterministic setting.
Details
- Language :
- English
- ISSN :
- 0022-247X
- Volume :
- 515
- Issue :
- 2
- Database :
- MEDLINE
- Journal :
- Journal of mathematical analysis and applications
- Publication Type :
- Academic Journal
- Accession number :
- 37008889
- Full Text :
- https://doi.org/10.1016/j.jmaa.2022.126444