Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits
Powdery mildew is a major threat to mango plants, leading to significant agricultural and financial losses. This study introduces innovative mathematical models to capture the dynamics of powdery mildew infection in mango fruits and proposes an optimal control strategy to minimize disease spread and...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ARQII PUBLICATION
2025-05-01
|
| Series: | Applications of Modelling and Simulation |
| Subjects: | |
| Online Access: | https://arqiipubl.com/ojs/index.php/AMS_Journal/article/view/869/219 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849729187521232896 |
|---|---|
| author | K. Vaishnavi R. Malinidevi |
| author_facet | K. Vaishnavi R. Malinidevi |
| author_sort | K. Vaishnavi |
| collection | DOAJ |
| description | Powdery mildew is a major threat to mango plants, leading to significant agricultural and financial losses. This study introduces innovative mathematical models to capture the dynamics of powdery mildew infection in mango fruits and proposes an optimal control strategy to minimize disease spread and treatment costs. By applying advanced asymptotic techniques, such as the New Homotopy Perturbation Method, Adomian Decomposition Method, and Variational Iteration Method, this research derives novel approximate analytical solutions, which are rigorously validated against numerical results. The developed models offer a robust framework for understanding the disease dynamics and optimizing biological control measures, with a focus on minimizing both disease transmission and treatment expenses. The results demonstrate the efficacy and accuracy of these approaches, providing valuable insights into pest management strategies in mango cultivation. |
| format | Article |
| id | doaj-art-91f27978feb14b5d80220ffbd8fa36e9 |
| institution | DOAJ |
| issn | 2600-8084 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | ARQII PUBLICATION |
| record_format | Article |
| series | Applications of Modelling and Simulation |
| spelling | doaj-art-91f27978feb14b5d80220ffbd8fa36e92025-08-20T03:09:17ZengARQII PUBLICATIONApplications of Modelling and Simulation2600-80842025-05-019174188Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and FruitsK. Vaishnavi0R. Malinidevi1PG & Research Department of Mathematics, The Standard Fireworks Rajaratnam College for Women (Affiliated to Madurai Kamaraj University), Thiruthangal Road, Sivakasi-626123, Tamilnadu, IndiaPG & Research Department of Mathematics, The Standard Fireworks Rajaratnam College for Women (Affiliated to Madurai Kamaraj University), Thiruthangal Road, Sivakasi-626123, Tamilnadu, IndiaPowdery mildew is a major threat to mango plants, leading to significant agricultural and financial losses. This study introduces innovative mathematical models to capture the dynamics of powdery mildew infection in mango fruits and proposes an optimal control strategy to minimize disease spread and treatment costs. By applying advanced asymptotic techniques, such as the New Homotopy Perturbation Method, Adomian Decomposition Method, and Variational Iteration Method, this research derives novel approximate analytical solutions, which are rigorously validated against numerical results. The developed models offer a robust framework for understanding the disease dynamics and optimizing biological control measures, with a focus on minimizing both disease transmission and treatment expenses. The results demonstrate the efficacy and accuracy of these approaches, providing valuable insights into pest management strategies in mango cultivation.https://arqiipubl.com/ojs/index.php/AMS_Journal/article/view/869/219analytical expressionmango plantmathematical modellingoptimal controlpowdery mildew |
| spellingShingle | K. Vaishnavi R. Malinidevi Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits Applications of Modelling and Simulation analytical expression mango plant mathematical modelling optimal control powdery mildew |
| title | Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits |
| title_full | Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits |
| title_fullStr | Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits |
| title_full_unstemmed | Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits |
| title_short | Biological and Optimal Control Model for Powdery Mildew Disease in Mango Plants and Fruits |
| title_sort | biological and optimal control model for powdery mildew disease in mango plants and fruits |
| topic | analytical expression mango plant mathematical modelling optimal control powdery mildew |
| url | https://arqiipubl.com/ojs/index.php/AMS_Journal/article/view/869/219 |
| work_keys_str_mv | AT kvaishnavi biologicalandoptimalcontrolmodelforpowderymildewdiseaseinmangoplantsandfruits AT rmalinidevi biologicalandoptimalcontrolmodelforpowderymildewdiseaseinmangoplantsandfruits |