# A nonlinear delayed model for the immune response in the presence of viral mutation

## TL;DR

This paper introduces a delayed nonlinear model of immune response to viral infection, accounting for wild-type and mutant viruses, revealing oscillatory and chaotic dynamics caused by immune response delays.

## Contribution

It presents a novel delayed nonlinear model capturing complex immune-virus interactions and analyzes the effects of immune response delays on system dynamics.

## Key findings

- Delayed responses induce oscillations and chaos in immune-virus dynamics
- Numerical analysis confirms complex behaviors due to delays
- Analytical results support numerical findings

## Abstract

In this paper we consider a delayed nonlinear model of the dynamics of the immune system against a viral infection that contains wild-type virus and one mutant. A finite response time of the immune system was considered in order which leads to sustained oscillatory behavior as well as chaotic behavior, triggered by the presence of delays. We present a thoroughly numeric analysis and some analytical results.