Modeling the spread of Leishmaniasis disease via delayed analysis
Leishmaniasis is a group of contagious diseases having high surveillance among dogs. According to World Health Organization (WHO), ninety-two territories were infected around the world in 2018. One billion dogs live in areas endemic for Leishmaniasis and are at risk of infection. Almost one million...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822003131 |
| _version_ | 1797978736891527168 |
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| author | Muhammad Rafiq Muhammad Naveed Zafar Ullah Khan Ali Raza Jan Awrejcewicz Atif Hassan Soori Israr Ul Haq Muhammad Mohsin |
| author_facet | Muhammad Rafiq Muhammad Naveed Zafar Ullah Khan Ali Raza Jan Awrejcewicz Atif Hassan Soori Israr Ul Haq Muhammad Mohsin |
| author_sort | Muhammad Rafiq |
| collection | DOAJ |
| description | Leishmaniasis is a group of contagious diseases having high surveillance among dogs. According to World Health Organization (WHO), ninety-two territories were infected around the world in 2018. One billion dogs live in areas endemic for Leishmaniasis and are at risk of infection. Almost one million cases are reported annually. The dog's population is categorized into five classes like susceptible (S), latent (L), infectious (I), uninfected (R), and infected (Q). The Leishmaniasis delayed model is developed to analyze and control its spread. Equilibria, positivity, boundedness, reproduction number, and parameter sensitivity are the model's essential features. The stability of the model is investigated in a local and global sense with the help of the Routh Hurwitz criterion and Lyapunov theory. In the end, simulations are presented to verify the theoretical analysis of the delayed model. |
| first_indexed | 2024-04-11T05:28:51Z |
| format | Article |
| id | doaj.art-03294b97fcd54a729a63860ed3991f24 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T05:28:51Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-03294b97fcd54a729a63860ed3991f242022-12-23T04:38:56ZengElsevierAlexandria Engineering Journal1110-01682022-12-0161121119711209Modeling the spread of Leishmaniasis disease via delayed analysisMuhammad Rafiq0Muhammad Naveed1Zafar Ullah Khan2Ali Raza3Jan Awrejcewicz4Atif Hassan Soori5Israr Ul Haq6Muhammad Mohsin7Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, PakistanDepartment of Mathematics, Air University Islamabad, PakistanDepartment of Dermatology, Rashid Latif Medical College Lahore, PakistanDepartment of Mathematics, National College of Business Administration and Economics Lahore, Pakistan; Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad,52000, Punjab Higher Education Department (PHED), Lahore 54000, Pakistan; Corresponding author at: Department of Mathematics, National College of Business Administration and Economics Lahore, Pakistan.Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, PolandDepartment of Mathematics, Air University Islamabad, PakistanDepartment of Mathematics, National College of Business Administration and Economics Lahore, PakistanDepartment of Mathematics, Technische Universitat Chemnitz, GermanyLeishmaniasis is a group of contagious diseases having high surveillance among dogs. According to World Health Organization (WHO), ninety-two territories were infected around the world in 2018. One billion dogs live in areas endemic for Leishmaniasis and are at risk of infection. Almost one million cases are reported annually. The dog's population is categorized into five classes like susceptible (S), latent (L), infectious (I), uninfected (R), and infected (Q). The Leishmaniasis delayed model is developed to analyze and control its spread. Equilibria, positivity, boundedness, reproduction number, and parameter sensitivity are the model's essential features. The stability of the model is investigated in a local and global sense with the help of the Routh Hurwitz criterion and Lyapunov theory. In the end, simulations are presented to verify the theoretical analysis of the delayed model.http://www.sciencedirect.com/science/article/pii/S1110016822003131Leishmaniasis diseaseDelayed modelStability analysisComputer results |
| spellingShingle | Muhammad Rafiq Muhammad Naveed Zafar Ullah Khan Ali Raza Jan Awrejcewicz Atif Hassan Soori Israr Ul Haq Muhammad Mohsin Modeling the spread of Leishmaniasis disease via delayed analysis Alexandria Engineering Journal Leishmaniasis disease Delayed model Stability analysis Computer results |
| title | Modeling the spread of Leishmaniasis disease via delayed analysis |
| title_full | Modeling the spread of Leishmaniasis disease via delayed analysis |
| title_fullStr | Modeling the spread of Leishmaniasis disease via delayed analysis |
| title_full_unstemmed | Modeling the spread of Leishmaniasis disease via delayed analysis |
| title_short | Modeling the spread of Leishmaniasis disease via delayed analysis |
| title_sort | modeling the spread of leishmaniasis disease via delayed analysis |
| topic | Leishmaniasis disease Delayed model Stability analysis Computer results |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822003131 |
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