A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay
The purpose of this paper is to propose a variable fractional-order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional-order derivative which is a...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/4291017 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549314556067840 |
|---|---|
| author | A. A. M. Arafa M. Khalil A. Sayed |
| author_facet | A. A. M. Arafa M. Khalil A. Sayed |
| author_sort | A. A. M. Arafa |
| collection | DOAJ |
| description | The purpose of this paper is to propose a variable fractional-order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional-order derivative which is an extension of the constant fractional-order derivative to explain a certain pattern in the development of infection of several patients. The presented model has been solved numerically via the predictor-corrector scheme. The local and global stability conditions of the disease-free equilibrium are investigated. Also, numerical simulations are presented for different variable fractional-order derivatives in Caputo sense. |
| format | Article |
| id | doaj-art-84b04f943b61487db4117f15b5c5b069 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-84b04f943b61487db4117f15b5c5b0692025-02-03T06:11:38ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/42910174291017A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time DelayA. A. M. Arafa0M. Khalil1A. Sayed2Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptDepartment of Mathematics, Faculty of Engineering, October University for Modern Sciences and Arts (MSA), Giza, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptThe purpose of this paper is to propose a variable fractional-order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional-order derivative which is an extension of the constant fractional-order derivative to explain a certain pattern in the development of infection of several patients. The presented model has been solved numerically via the predictor-corrector scheme. The local and global stability conditions of the disease-free equilibrium are investigated. Also, numerical simulations are presented for different variable fractional-order derivatives in Caputo sense.http://dx.doi.org/10.1155/2019/4291017 |
| spellingShingle | A. A. M. Arafa M. Khalil A. Sayed A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay Complexity |
| title | A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay |
| title_full | A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay |
| title_fullStr | A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay |
| title_full_unstemmed | A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay |
| title_short | A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay |
| title_sort | non integer variable order mathematical model of human immunodeficiency virus and malaria coinfection with time delay |
| url | http://dx.doi.org/10.1155/2019/4291017 |
| work_keys_str_mv | AT aamarafa anonintegervariableordermathematicalmodelofhumanimmunodeficiencyvirusandmalariacoinfectionwithtimedelay AT mkhalil anonintegervariableordermathematicalmodelofhumanimmunodeficiencyvirusandmalariacoinfectionwithtimedelay AT asayed anonintegervariableordermathematicalmodelofhumanimmunodeficiencyvirusandmalariacoinfectionwithtimedelay AT aamarafa nonintegervariableordermathematicalmodelofhumanimmunodeficiencyvirusandmalariacoinfectionwithtimedelay AT mkhalil nonintegervariableordermathematicalmodelofhumanimmunodeficiencyvirusandmalariacoinfectionwithtimedelay AT asayed nonintegervariableordermathematicalmodelofhumanimmunodeficiencyvirusandmalariacoinfectionwithtimedelay |