Name
Title | ||
|---|---|---|
Numerical modeling and theoretical analysis of a nonlinear advection-reaction epidemic system. |
Abstract | ||
|---|---|---|
•Advection reaction susceptible infected recovered (SIR) epidemic model with relapse and immunity loss is considered for numerical analysis in which state variables represent the population sizes.•Positivity preserving numerical technique is designed for the epidemic model as state variables are taken in absolute.•The proposed scheme preserves all the important properties possessed by continuous SIR epidemic model.•M-matrix theory is used to prove the positivity of the proposed technique.•Numerical simulations are presented to verify all the attributes of the proposed numerical schemes. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cmpb.2020.105429 | Computer Methods and Programs in Biomedicine |
Keywords | DocType | Volume |
Advection-reaction systems,Nonlinear epidemic model,Structure-preserving scheme,Numerical efficiency | Journal | 193 |
ISSN | Citations | PageRank |
0169-2607 | 0 | 0.34 |
References | Authors | |
0 | 8 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shumaila Azam | 1 | 0 | 0.34 |
| J. E. Macías-Díaz | 2 | 86 | 17.96 |
| Nauman Ahmed | 3 | 22 | 7.47 |
| Ilyas Khan | 4 | 25 | 25.71 |
| Muhammad Iqbal | 5 | 189 | 24.05 |
| Muhammad Rafiq | 6 | 21 | 9.49 |
| K. S. Nisar | 7 | 15 | 12.15 |
| Muhammad O Ahmad | 8 | 0 | 0.34 |