Is the Allee effect relevant to stochastic cancer model?

DOI10.1007/s12190-021-01618-6zbMath1496.92037OpenAlexW3193362468MaRDI QIDQ2089183

Mrinmoy Sardar, Subhas Khajanchi

Publication date: 6 October 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01618-6

zbMATH Keywords

Brownian motionuniformly continuousdynamical bifurcation pointexistence \& uniquenessparametric perturbation method

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Medical applications (general) (92C50) Invariant manifold theory for dynamical systems (37D10) Nonlinear ordinary differential operators (34L30)

Related Items (9)

A binary Caputo-Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation ⋮ The role of tumor activation and inhibition with saturation effects in a mathematical model of tumor and immune system interactions undergoing oncolytic viral therapy ⋮ Application of non-singular kernel in a tumor model with strong Allee effect ⋮ OPTIMAL TREATMENT STRATEGIES USING DENDRITIC CELL VACCINATION FOR A TUMOR MODEL WITH PARAMETER IDENTIFIABILITY ⋮ Dynamical analysis of a delayed stochastic Lotka-Volterra competitive model in polluted aquatic environments ⋮ Threshold dynamics and probability density function of a stochastic multi-strain coinfection model with amplification and vaccination ⋮ Stability analysis of fuzzy HTLV-I infection model: a dynamic approach ⋮ Stochastic analysis of a SIRI epidemic model with double saturated rates and relapse ⋮ On chaos of discrete time fractional order host-immune-tumor cells interaction model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and bifurcation analysis of delay induced tumor immune interaction model
• Bifurcation analysis of a delayed mathematical model for tumor growth
• Modeling the dynamics of glioma-immune surveillance
• The impact of distributed time delay in a tumor-immune interaction system
• Is the Allee effect relevant in cancer evolution and therapy?
• Population dynamics with threshold effects give rise to a diverse family of allee effects
• Quantifying the role of immunotherapeutic drug T11 target structure in progression of malignant gliomas: mathematical modeling and dynamical perspective
• Stability analysis of a mathematical model for glioma-immune interaction under optimal therapy
• BIFURCATIONS AND OSCILLATORY DYNAMICS IN A TUMOR IMMUNE INTERACTION MODEL
• A MATHEMATICAL MODEL FOR TREATMENT OF PAPILLARY THYROID CANCER USING THE ALLEE EFFECT
• Chaotic dynamics of a delayed tumor–immune interaction model

This page was built for publication: Is the Allee effect relevant to stochastic cancer model?