# Stochastic Optimal and Time-Optimal Control Studies for Additional Food provided prey-predator Systems involving Holling Type-III Functional Response

Source: [Stochastic Optimal and Time-Optimal Control Studies for Additional Food provided prey-predator Systems involving Holling Type-III Functional Response](<https://www.sota2.com/research/paper/68fa5ad11e209131ce9c3130>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T16:42:52.681Z

Authors: D. Bhanu Prakash, D. K. K. Vamsi

Published: 2022-07-14T05:42:01.000Z

## Abstract

This paper consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modeled as additional food provided prey-predator system with Holling Type-III functional response for predator and intra-specific competition among predators. We firstly discuss the optimal control problem as a Lagrangian problem with a linear quadratic control. Secondly we consider an optimal control problem in the time-optimal control setting. Stochastic maximum principle is used for establishing the existence of optimal controls for both these problems. Numerical simulations are performed based on stochastic forward-backward sweep methods for realizing the theoretical findings. The results obtained in these optimal control problems are discussed in the context of biological conservation and pest management.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2207.06668>)

[PDF](<https://arxiv.org/pdf/2207.06668.pdf>)