Table 1 Parameter description

\(\eth ^{*} _{1}\)

Number of new patients diagnosed to suffer in stage 1 and 2 cancer

\(\eth ^{*} _{2}\)

Number of new patients diagnosed to suffer in stage 3 cancer

\(\eth ^{*} _{2}\)

Number of new patients diagnosed to suffer in stage 4 cancer

\(\mu _{AD}\)

Rate of stage 1 or 2 patients who experience a complete response

\(\mu _{AB}\)

Increased rate from stage 1 or 2 to stage 3 (progressive disease)

\(\mu _{BD}\)

Rate of stage 3 patients who experience a complete response

\(\mu _{BC}\)

Increased rate from stage 3 to stage 4 (progressive disease)

\(\mu _{BE}\)

Rate of stage 3 cancer chemotherapy patients who experience cardiotoxicity

\(\mu _{CD}\)

Rate of stage 4 patients who experience complete response

\(\mu _{CE}\)

Rate of stage 4 cancer chemotherapy patients who experience cardiotoxicity

\(\mu _{DB}\)

Rate of disease-free patients who relapse back to stage 3

\(\mu _{DC}\)

Rate of disease-free patients who relapse back to stage 4

\(\mu _{DE}\)

Rate of disease-free patients who experience cardiotoxic

\(\hat {\xi}_{1}\)

Death rate of cardiotoxic patients

\(\hat {\xi}_{2}\)

Death rate of stage 3 cancer patients

\(\hat {\xi}_{3}\)

Death rate of stage 4 cancer patients