# Helminth Dynamics: Mean Number of Worms, Reproductive Rates

## TL;DR

This paper develops formulas to calculate the average number of worms in a newly infected helminth population before secondary infections occur, highlighting the measurable growth functions involved.

## Contribution

It introduces new formulas for mean worm counts and proves the emergence of two types of growth functions in helminth population dynamics.

## Key findings

- Derived formulas for mean worm numbers in initial infection stages
- Proved the measurability of growth functions in the process
- Identified two distinct growth functions in helminth dynamics

## Abstract

We derive formulas to compute mean number of worms in a newly Helminth infected population before secondary infections are started (population is closed). We have proved the two types of growth functions arise in this process as measurable functions.