Stochastic dynamics of human papillomavirus delineates cervical cancer progression

DOI10.1007/s00285-023-02018-zMaRDI QIDQ6181117

Jin-qiao Duan, Tuan Anh Phan, Jianjun Paul Tian, Farhana Sarower

Publication date: 2 January 2024

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

cervical cancerergodic invariant probability measurestochastic dynamical bifurcationchronic infection state

Mathematics Subject Classification ID

Medical applications (general) (92C50) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

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• The dynamics of HPV infection and cervical cancer cells
• A male-female mathematical model of human papillomavirus (HPV) in African American population
• The role of optimal control in assessing the most cost-effective implementation of a vaccination programme: HPV as a case study
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• Global stability of equilibria in a two-sex HPV vaccination model
• Statistical properties of the generalized inverse Gaussian distribution
• Coexistence and extinction for stochastic Kolmogorov systems
• Basic stochastic model for tumor virotherapy
• Deterministic and stochastic modeling for PDGF-driven gliomas reveals a classification of gliomas
• Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy. II
• Hypoelliptic second order differential equations
• Conditions for permanence and ergodicity of certain stochastic predator–prey models
• Protection Zones for Survival of Species in Random Environment
• Stability of Markovian processes II: continuous-time processes and sampled chains
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• The Malliavin Calculus and Related Topics
• Dynamics of cholera epidemic models in fluctuating environments
• Ergodic Properties of Markov Processes

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