Lie Symmetries and Solutions for a Reaction-Diffusion-Advection SIS Model with Demographic Effects

被引：0
|
作者：
Naz, Rehana [1 ]
Torrisi, Mariano [2 ]
Imran, Ayesha [3 ]
机构：
[1] Lahore Sch Econ, Dept Math & Stat Sci, Lahore 53200, Pakistan
[2] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy
[3] Lahore Grammar Sch, Def, 483-4 G Block,Phase 5, Lahore 54810, Pakistan
来源：
SYMMETRY-BASEL | 2025年 / 17卷 / 01期
关键词：
susceptible-infectious-susceptible epidemic; Lie symmetry methods; advection rate; sensitivity analysis; diffusion coefficient; EPIDEMIC MODEL; CONSERVATION-LAWS; SYMBOLIC SOFTWARE; PACKAGE;
D O I：
10.3390/sym17010003
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A reaction-diffusion susceptible-infectious-susceptible disease model with advection, vital dynamics (birth-death effects), and a standard incidence infection mechanism is carefully analyzed. Two distinct diffusion coefficients for the susceptible and infected populations are considered. The Lie symmetries and closed-form solutions for the RDA-SIS disease model are established. The derived solution allows to study dynamics of disease transmission. Our simulation clearly illustrates the evolution dynamics of the model by using the values of parameters from academic sources. A sensitivity analysis is performed, offering valuable perspectives that could inform future disease management policies.
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页数：15
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