In the last few decades, the role of numerical analysis and scientific computing has been increasing rapidly, especially for the solution of real-world problems. Mathematical models of infectious disease transmission are increasingly attracting attention of researchers, especially with the COVID-19 pandemic existence. The mathematical models usually apply nonlinear systems of ordinary, delay or partial differential equations, and now recently more developments on various mathematical theories on epidemiology have been achieved.
This Research Topic will present recent research results in numerical analysis and scientific computing. Papers on all mathematical background including construction, analysis and performance of novel and/or efficient methods with applications in Mathematical Biology are welcome. The methods can be Finite Difference, Finite Element, Finite Volume, Spectral and Virtual element methods.
The goals of this article collection are:
1. construction of efficient numerical methods to solve linear and non-linear partial differential equations in mathematical biology.
2. analysis of these numerical methods with regard to dispersion, dissipation properties
3. convergence analysis of these methods.
4. constructing improved models for problems in mathematical biology and their numerical solutions.
This Research Topic aims to bring academics, engineers, researchers and scientists to share recent ideas, methods, trends, problems and solutions in mathematical biology. The list of potential topics are given below:
1. Numerical Solution of Fractional Differential Equations
2. Numerical Solution of Partial Differential Equations (advection-diffusion, cross diffusion, etc)
3. Numerical Solution of Stochastic Partial Differential Equations
4. Numerical Solution of integro-differential Equations
5. Numerical Solution of delay differential Equations
6. Biological Systems
7. Biomedical research
8. Epidemic models
9. Infectious Disease Modelling
10. Dynamical systems
11. Stability analysis
12. Bifurcation
In the last few decades, the role of numerical analysis and scientific computing has been increasing rapidly, especially for the solution of real-world problems. Mathematical models of infectious disease transmission are increasingly attracting attention of researchers, especially with the COVID-19 pandemic existence. The mathematical models usually apply nonlinear systems of ordinary, delay or partial differential equations, and now recently more developments on various mathematical theories on epidemiology have been achieved.
This Research Topic will present recent research results in numerical analysis and scientific computing. Papers on all mathematical background including construction, analysis and performance of novel and/or efficient methods with applications in Mathematical Biology are welcome. The methods can be Finite Difference, Finite Element, Finite Volume, Spectral and Virtual element methods.
The goals of this article collection are:
1. construction of efficient numerical methods to solve linear and non-linear partial differential equations in mathematical biology.
2. analysis of these numerical methods with regard to dispersion, dissipation properties
3. convergence analysis of these methods.
4. constructing improved models for problems in mathematical biology and their numerical solutions.
This Research Topic aims to bring academics, engineers, researchers and scientists to share recent ideas, methods, trends, problems and solutions in mathematical biology. The list of potential topics are given below:
1. Numerical Solution of Fractional Differential Equations
2. Numerical Solution of Partial Differential Equations (advection-diffusion, cross diffusion, etc)
3. Numerical Solution of Stochastic Partial Differential Equations
4. Numerical Solution of integro-differential Equations
5. Numerical Solution of delay differential Equations
6. Biological Systems
7. Biomedical research
8. Epidemic models
9. Infectious Disease Modelling
10. Dynamical systems
11. Stability analysis
12. Bifurcation
