B-splines collocation approach to simulate secondary dengue virus (DENV) infection model with diffusion. (English) Zbl 07827984
Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 215-228 (2023).
Summary: Dengue fever is a mosquito-borne viral infection caused by the dengue virus (DENV) found worldwide in tropical and sub-tropical urban and non-urban areas. Dengue viruses (DENV) spread through the bite of an infected Ades species mosquito. There is not available any specific treatment or cure for this DENV infection. The dynamics of the secondary dengue virus infection considering the spatial mobility of dengue virus particles and cells can better be studied and analyzed with reaction-diffusion mathematical models. A reaction-diffusion mathematical model consisting of five simultaneous nonlinear partial differential equations to characterize the dynamics of secondary Dengue infection is studied in this paper. The spatial mobility of the dengue particles and cells is considered in the model. A numerical simulation technique based on the cubic B-splines collocation is proposed to approximate the solution of the considered model.
For the entire collection see [Zbl 1524.76004].
For the entire collection see [Zbl 1524.76004].
MSC:
| 76-XX | Fluid mechanics |
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