Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response
This article consists of a detailed and novel stochastic optimal control analysis of a 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 and intra-specific competition among...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-02-01
|
| Series: | Computational and Mathematical Biophysics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cmb-2022-0144 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832570461548969984 |
|---|---|
| author | Prakash Daliparthi Bhanu Vamsi Dasu Krishna Kiran |
| author_facet | Prakash Daliparthi Bhanu Vamsi Dasu Krishna Kiran |
| author_sort | Prakash Daliparthi Bhanu |
| collection | DOAJ |
| description | This article consists of a detailed and novel stochastic optimal control analysis of a 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 and intra-specific competition among predators. We first discuss the optimal control problem as a Lagrangian problem with a linear quadratic control. Second, we consider an optimal control problem in the time-optimal control setting. We initially establish the existence of optimal controls for both these problems and later characterize these optimal controls using the Stochastic maximum principle. Further 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. |
| format | Article |
| id | doaj-art-d14cf8a4cc8a4b75b1af107b10185564 |
| institution | Kabale University |
| issn | 2544-7297 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj-art-d14cf8a4cc8a4b75b1af107b101855642025-02-02T15:45:06ZengDe GruyterComputational and Mathematical Biophysics2544-72972023-02-0111111414510.1515/cmb-2022-0144Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional responsePrakash Daliparthi Bhanu0Vamsi Dasu Krishna Kiran1Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Puttaparthi, Anantapur, Andhra Pradesh, IndiaDepartment of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Puttaparthi, Anantapur, Andhra Pradesh, IndiaThis article consists of a detailed and novel stochastic optimal control analysis of a 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 and intra-specific competition among predators. We first discuss the optimal control problem as a Lagrangian problem with a linear quadratic control. Second, we consider an optimal control problem in the time-optimal control setting. We initially establish the existence of optimal controls for both these problems and later characterize these optimal controls using the Stochastic maximum principle. Further 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.https://doi.org/10.1515/cmb-2022-0144stochastic optimal controltime-optimal controlholling type iii responsebiological conservationpest management37a5060h1060j6560j70 |
| spellingShingle | Prakash Daliparthi Bhanu Vamsi Dasu Krishna Kiran Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response Computational and Mathematical Biophysics stochastic optimal control time-optimal control holling type iii response biological conservation pest management 37a50 60h10 60j65 60j70 |
| title | Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response |
| title_full | Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response |
| title_fullStr | Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response |
| title_full_unstemmed | Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response |
| title_short | Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response |
| title_sort | stochastic optimal and time optimal control studies for additional food provided prey predator systems involving holling type iii functional response |
| topic | stochastic optimal control time-optimal control holling type iii response biological conservation pest management 37a50 60h10 60j65 60j70 |
| url | https://doi.org/10.1515/cmb-2022-0144 |
| work_keys_str_mv | AT prakashdaliparthibhanu stochasticoptimalandtimeoptimalcontrolstudiesforadditionalfoodprovidedpreypredatorsystemsinvolvinghollingtypeiiifunctionalresponse AT vamsidasukrishnakiran stochasticoptimalandtimeoptimalcontrolstudiesforadditionalfoodprovidedpreypredatorsystemsinvolvinghollingtypeiiifunctionalresponse |