Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response

نویسندگان

چکیده

Abstract This article consists of a detailed and novel stochastic optimal control analysis coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for predator intra-specific competition among predators. We first discuss the problem Lagrangian linear quadratic control. Second, we consider in time-optimal setting. initially establish existence controls both these problems later characterize using Stochastic maximum principle. Further numerical simulations performed based on forward-backward sweep methods realizing theoretical findings. results obtained discussed context biological conservation pest management.

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ژورنال

عنوان ژورنال: Computational and Mathematical Biophysics

سال: 2023

ISSN: ['2544-7297']

DOI: https://doi.org/10.1515/cmb-2022-0144