Abstract
In this paper, we study the existence and uniqueness of a solution for a system of nonlinear differential equations with delay. We show its application using a mathematical model that describes tumor-immune interactions in the bladder as a result of BCG therapy. We also study a mathematical model that uses a system of nonlinear partial differential equations with delay while considering the geometrical configuration of the human bladder. We use two-dimensional grid discretization to find the numerical solution of the systems describing the tumor-immune interaction.
| Original language | English |
|---|---|
| Pages (from-to) | 113-126 |
| Number of pages | 14 |
| Journal | Memoirs on Differential Equations and Mathematical Physics |
| Volume | 86 |
| State | Published - 1 Jan 2022 |
| Externally published | Yes |
Keywords
- Functional-differential equations
- Mathematical modeling
- Numerical methods for partial differential equations
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Applied Mathematics