Dynamics of fractional-order delay differential model for tumor-immune system

DOI10.1016/j.chaos.2019.109592zbMath1434.92017OpenAlexW2998865036WikidataQ126397383 ScholiaQ126397383MaRDI QIDQ2185160

G. Velmurugan, Fathalla A. Rihan

Publication date: 4 June 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.109592

zbMATH Keywords

stabilitynonlinear modelnonlinear systemHopf bifurcationtime delaysfractional ordertumor-immune system

Mathematics Subject Classification ID

Medical applications (general) (92C50) Asymptotic properties of solutions to ordinary differential equations (34D05) Functional-differential equations with fractional derivatives (34K37)

Related Items (22)

Optimal treatment strategies for delayed cancer-immune system with multiple therapeutic approach ⋮ Stochastic SIRC epidemic model with time-delay for COVID-19 ⋮ A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment ⋮ Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators ⋮ Stability and bifurcation analysis of a tumor-immune system with two delays and diffusion ⋮ Optimal control strategy for cancer remission using combinatorial therapy: a mathematical model-based approach ⋮ NOVEL RESULTS ON BIFURCATIONS FOR A FRACTIONAL-ORDER NEURAL NETWORK WITH NEUTRAL DELAYS ⋮ AN ADAPTIVE PHARMACOKINETIC OPTIMAL CONTROL APPROACH IN CHEMOTHERAPY FOR HETEROGENEOUS TUMOR ⋮ Role of immunotherapy in tumor-immune interaction: perspectives from fractional-order modelling and sensitivity analysis ⋮ Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems ⋮ Numerical solution of fractional-order HIV model using homotopy method ⋮ Investigation of nonlinear fractional delay differential equation via singular fractional operator ⋮ On the qualitative evaluation of the variable-order coupled boundary value problems with a fractional delay ⋮ On qualitative analysis of boundary value problem of variable order fractional delay differential equations ⋮ Numerical schemes for variable exponent fractional‐type integral equations ⋮ On the formulation of a predictor–corrector method to model IVPs with variable‐order Liouville–Caputo‐type derivatives ⋮ Analysis of a fractional SIR model with general incidence function ⋮ Analysis and simulation of a fractional order optimal control model for HBV ⋮ Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system ⋮ DYNAMICS OF A FRACTIONAL-ORDER BAM NEURAL NETWORK WITH LEAKAGE DELAY AND COMMUNICATION DELAY ⋮ DYNAMICAL ANALYSIS OF A SELF-CONNECTION FRACTIONAL-ORDER NEURAL NETWORK ⋮ BIFURCATION BEHAVIORS OF A FRACTIONAL-ORDER PREDATOR–PREY NETWORK WITH TWO DELAYS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of the dynamics of a tumor-immune system with chemotherapy and immunotherapy and quadratic optimal control
• Analysis of the Keller-Segel model with a fractional derivative without singular kernel
• Dynamics in a tumor immune system with time delays
• Qualitative and computational analysis of a mathematical model for tumor-immune interactions
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Fractional-order delayed predator-prey systems with Holling type-II functional response
• On the global dynamics of a model for tumor immunotherapy
• Generalized Taylor's formula
• Global existence theory and chaos control of fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Modeling immunotherapy of the tumor -- immune interaction
• Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
• A delay differential equation model for tumor growth
• Time delays in proliferation process for solid avascular tumour
• A time delay model of tumour-immune system interactions: global dynamics, parameter estimation, sensitivity analysis
• Nonstandard finite difference method by nonlocal approximation
• Time delay in a basic model of the immune response
• Global dynamics of the Kirschner-Panetta model for the tumor immunotherapy
• Optimal control of tumour-immune model with time-delay and immuno-chemotherapy
• Modeling regulation mechanisms in the immune system
• Cancer immunotherapy, mathematical modeling and optimal control
• Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control
• Numerical modeling of fractional-order biological systems
• Mathematical modeling on helper T cells in a tumor immune system
• Dual role of delay effects in a tumour–immune system
• Global stabilization for a class of stochastic nonlinear systems with SISS‐like conditions and time delay
• A proposed fractional-order Gompertz model and its application to tumour growth data
• Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model

This page was built for publication: Dynamics of fractional-order delay differential model for tumor-immune system