Bifurcation and pattern formation of a tumor-immune model with time-delay and diffusion
From MaRDI portal
Publication:1998160
DOI10.1016/j.matcom.2020.06.011OpenAlexW3034733677MaRDI QIDQ1998160
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.06.011
Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Miscellaneous applications of operator theory (47Nxx) Mathematical biology in general (92Bxx)
Related Items
Stability and bifurcation analysis of a tumor-immune system with two delays and diffusion ⋮ Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative ⋮ Asymptotic expansion of the error of the numerical method for solving wave equation with functional delay ⋮ Pattern formation of Brusselator in the reaction-diffusion system ⋮ Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells ⋮ Stability and Hopf bifurcation of a diffusive plankton model with time-delay and mixed nonlinear functional responses
Cites Work
- Unnamed Item
- Analysis of the dynamics of a tumor-immune system with chemotherapy and immunotherapy and quadratic optimal control
- Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator response
- On a nonlocal reaction-diffusion-advection system modelling the growth of phytoplankton with cell quota structure
- Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay
- Effect of predator cannibalism and prey growth on the dynamic behavior for a predator-stage structured population model with diffusion
- Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics
- 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
- A time delay model of tumour-immune system interactions: global dynamics, parameter estimation, sensitivity analysis
- Dynamical behaviors of a food-chain model with stage structure and time delays
- Periodic and chaotic dynamics in a map-based model of tumor-immune interaction
- Numerical solution of non-linear partial differential equation for porous media using operational matrices
- Dynamics analysis on a class of delayed neural networks involving inertial terms
- Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term
- Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type
- Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
- Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics
- Dynamics of a tumor-immune model considering targeted chemotherapy
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- Persistence, Stability and Hopf Bifurcation in a Diffusive Ratio-Dependent Predator–Prey Model with Delay
- Stability of a binge drinking model with delay
- Periodic orbit analysis for the delayed Filippov system
- EFFECTS OF THE KILLING RATE ON GLOBAL BIFURCATION IN AN ONCOLYTIC-VIRUS SYSTEM WITH TUMORS
- On spatial-temporal dynamics of a Fisher-KPP equation with a shifting environment
- Stability and Hopf Bifurcation of a Delayed Prey–Predator Model with Disease in the Predator
- Periodic solution and its stability of a delayed Beddington‐DeAngelis type predator‐prey system with discontinuous control strategy
- Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model
