Author:
El Baz O., ,Ait Ichou M.,Laarabi H.,Rachik M., , ,
Abstract
Scale insects are parasitic insects that attack many indoor and outdoor plants, including cacti and succulents. These insects are among the frequent causes of diseases in cacti: for the reason that they are tough, multiply in record time and could be destructive to these plants, although they are considered resistant. Mealybugs feed on the sap of plants, drying them out and discoloring them. In this research, we propose and investigate a fractional model for the transmission of the Cochineal. In the first place, we prove the positivity and boundedness of solutions in order to ensure the well-posedness of the proposed model. The local stability of the disease-free equilibrium and the chronic infection equilibrium is established. Numerical simulations are presented in order to validate our theoretical results.
Publisher
Lviv Polytechnic National University
Subject
Computational Theory and Mathematics,Computational Mathematics
Reference20 articles.
1. https://www.cotemaison.fr/plantes-fleurs/cochenille-lutter-contre-ce-nuisible_28730.html#:~:text=Qu'est\%2Dce\%20que\%20la,des\%20tas\%20cotonneux\%20et\%20blanch\%C3\%A2tres.
2. https://www.agri-mag.com/2017/06/cactus-cochenille-et-lutte-biologique/#:~:text=Le\%20cactus\%20est\%20pr\%C3\%A9sent\%20dans,\%C3\%A9cosyst\%C3\%A8mes\%20\%C3\%A0\%20travers\%20le\%20monde.&text=Le\%20cactus\%20est\%20pr\%C3\%A9sent\%20au,des\%20maisons\%20et\%20des\%20douars.
3. Du M., Wang Z., Hu H. Measuring memory with the order of fractional derivative. Scientific Reports. 3, 3431 (2013).
4. Ait Ichou M., Bachraoui M., Hattaf K., Yousfi N. Dynamics of a fractional optimal control HBV infection model withcapsids and CTL immune response. Mathematical Modeling and Computing. 10 (1), 239-244 (2023).
5. Khajji B., Boujallal L., Elhia M., Balatif O., Rachik M. A fractional-order model for drinking alcohol behaviour leading toroad accidents and violence. Mathematical Modeling and Computing. 9 (3), 501-518 (2022).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献