A novel mathematical study to understand the Lumpy skin disease (LSD) using modified parameterized approach

被引:14
作者
Alfwzan, Wafa F. [1 ]
DarAssi, Mahmoud H. [2 ]
Allehiany, F. M. [3 ]
Khan, Muhammad Altaf [4 ]
Alshahrani, Mohammad Y. [5 ]
Tag-Eldin, Elsayed M. [6 ]
机构
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan
[3] Umm Al Qura Univ, Coll Appl Sci, Dept Math Sci, Mecca, Saudi Arabia
[4] Univ Free State, Fac Nat & Agr Sci, Bloemfontein, South Africa
[5] King Khalid Univ, Coll Appl Med Sci, Dept Clin Lab Sci, POB 61413, Abha 9088, Saudi Arabia
[6] Future Univ Egypt, Fac Engn, New Cairo 11835, Egypt
关键词
LSD; Mathematical model; Stability; Numerical results;
D O I
10.1016/j.rinp.2023.106626
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The LSD mainly affects the cattle population and other animals, especially buffalo and cows. Due to the significant loss of dairy products and cattle population, it is necessary to highlight this issue by means of a mathematical modeling approach. We formulate a mathematical model for understanding LSD by taking all the possible routes that cause the disease to spread in the community. We study the basic results for the model and then obtain their possible equilibria. The model's local and global asymptotical stability analysis is shown for the basic reproduction number less than unity. We further find a list of suitable parameter values for the model parameters and present the graphical results of the model. A new approach to solve fractional order system has been given, and applied to the proposed model. For the model's sensitive parameters, we give a numerical simulation and show their impact on disease transmission.
引用
收藏
页数:13
相关论文
共 32 条
[11]   Global dynamics of a three-species spatial food chain model [J].
Jin, Hai-Yang ;
Wang, Zhi-An ;
Wu, Leyun .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 333 :144-183
[12]   GLOBAL STABILIZATION OF THE FULL ATTRACTION-REPULSION KELLER-SEGEL SYSTEM [J].
Jin, Hai-Yang ;
Wang, Zhi-An .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (06) :3509-3527
[13]   Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model [J].
Jin, Hai-Yang ;
Wang, Zhi-An .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (03) :444-457
[14]  
Khan MR, 2017, SCI REP-UK, V7, DOI [10.1038/srep41995, 10.1038/s41598-017-13843-w, 10.1038/s41598-017-01968-x]
[15]   Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative [J].
Khan, Muhammad Altaf ;
Atangana, Abdon .
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) :2379-2389
[16]   Modeling the dynamics of coronavirus with super-spreader class: A fractal-fractional approach [J].
Li, Xiao-Ping ;
Ullah, Saif ;
Zahir, Hina ;
Alshehri, Ahmed ;
Riaz, Muhammad Bilal ;
Al Alwan, Basem .
RESULTS IN PHYSICS, 2022, 34
[17]   Digital Twins in Unmanned Aerial Vehicles for Rapid Medical Resource Delivery in Epidemics [J].
Lv, Zhihan ;
Chen, Dongliang ;
Feng, Hailin ;
Zhu, Hu ;
Lv, Haibin .
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS, 2022, 23 (12) :25106-25114
[18]   Mathematical modelling and evaluation of the different routes of transmission of lumpy skin disease virus [J].
Magori-Cohen, Reuma ;
Louzoun, Yoram ;
Herziger, Yael ;
Oron, Eldad ;
Arazi, Alon ;
Tuppurainen, Eeva ;
Shpigel, Nahum Y. ;
Klement, Eyal .
VETERINARY RESEARCH, 2012, 43
[19]  
Mohsen Maysaa J, 2023, ARAB J CHEM, V16
[20]   Modelling epidemic growth models for lumpy skin disease cases in Thailand using nationwide outbreak data, 2021-2022 [J].
Moonchai, Sompop ;
Himakalasa, Adsadang ;
Rojsiraphisal, Thaned ;
Arjkumpa, Orapun ;
Panyasomboonying, Pawares ;
Kuatako, Noppasorn ;
Buamithup, Noppawan ;
Punyapornwithaya, Veerasak .
INFECTIOUS DISEASE MODELLING, 2023, 8 (01) :282-293