In this paper, a mathematical model was proposed to deal with the …

• Abstract
• Background
• Methods
• Results and Discussion
• Conclusion
• Authors' Contribution
• Appendix
• Acknowledgements
• References
• Tables

Biology Articles » Biomathematics » A mathematical model for the burden of diabetes and its complications » Appendix

Appendix

- A mathematical model for the burden of diabetes and its complications

t : time,

l : increment in t (the time step),

C(t) : number of diabetics with complications,

D(t) : number of diabetics without complications,

N(t) : number of diabetics (N = C + D),

I(t) : incidence of diabetes mellitus,

J : jacobien,

μ : natural mortality rate,

λ : probability of developing a complication,

γ : rate at which complications are cured,

ν: rate at which patients with complications become severely disabled,

δ : mortality rate due to complications,

θ = μ + δ + γ + ν,

χ₁, χ₂ : eigenvalues,

C₀, N₀ : initial values of C and N,

C*, N* : critical-point values of C and N,

C⁺, N⁺ : fixed-point values of C and N,

x: x = [C, N]^T, T denoting transpose,

X₀ : X₀ = [C₀, N₀]^T,

A : constant square matrix of order two (linear model),

b(t): b(t) = [0, I(t)]^T,

C_n, N_n : approximations to C(nl), N(nl),

X_n : X_n = [C_n, N_n]^T,

I_n : I_n = I(nl).