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Runge–Kutta pairs suited for SIR‐type epidemic models
Author(s) -
Kovalnogov Vladislav N.,
Simos Theodore E.,
Tsitouras Charalampos
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7104
Subject(s) - ode , mathematics , ordinary differential equation , runge–kutta methods , type (biology) , quadratic equation , construct (python library) , epidemic model , dynamical systems theory , differential equation , calculus (dental) , mathematical analysis , computer science , geometry , demography , population , medicine , ecology , physics , dentistry , quantum mechanics , sociology , biology , programming language
Modeling the infectious diseases concludes in systems of ordinary differential equations (ODEs). The compartments in these equations (e.g., the numbers of susceptible, infectious, or immunized individuals) change in time. The ODEs arriving in these models are quadratic. Thus, we may apply special type of Runge–Kutta (RK) pairs for solving them. Here, we construct a new RK pair of orders five and four that is special tuned for this type of ODEs. Its superiority over standard RK pairs from the literature is illustrated when applied to various epidemic models, valid in measuring COVID‐19 spread.