Tom: 42 Strona: 95

Autorzy:
Andrzej Zieliński

Tytuł:
Some corrections to the Kermack–McKendrick model

Język: Angielski

Słowa kluczowe:
system of differential equations
the Kermack-McKendrick model connected with epidemiological data

Streszczenie:
In the book “Mathematical Biology” written by J.D. Murray the Kermack-McKendrick model connected with epidemiological data is presented in the form of a system of differential equations in which fractions of individuals susceptible to illness (S), infected (I) and resistant (R) appear. From the equations Murray extracts the function I(S)=1-S+1/δ⋅ln(S/S0), treating I0 as fraction of infected in the initial time (δ is a parameter). In fact I0 = I(S0), where S0 is fraction of individuals susceptible to illness in the initial time and I(S)=-S+1/δ⋅ln(S/S0)+I(S0)+S0. In the paper differences resulting from both forms of I(S) are described.

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