# Model Mathematics

### Component: x

$ddtimex=lambda-d⁢x+beta⁢x⁢v+gamma⁢x⁢v$

### Component: y0

$ddtimey0=beta⁢x⁢v-a0⁢y0+eta⁢y0+pa⁢y0⁢za+p_i⁢y0⁢zi+phi⁢L$

### Component: y1

$ddtimey1=eta⁢y0-a1⁢y1+pa⁢y1⁢za+p_i⁢y1⁢zi$

### Component: L

$ddtimeL=gamma⁢x⁢v-phi⁢L+d⁢L$

### Component: v

$ddtimev=k⁢y1-u⁢v$

### Component: m_8

$ddtimem_8=2⁢r⁢m_7-r⁢m_8$

### Component: m_7

$ddtimem_7=2⁢r⁢m_6-r⁢m_7$

### Component: m_6

$ddtimem_6=2⁢r⁢m_5-r⁢m_6$

### Component: m_5

$ddtimem_5=2⁢r⁢m_4-r⁢m_5$

### Component: m_4

$ddtimem_4=2⁢r⁢m_3-r⁢m_4$

### Component: m_3

$ddtimem_3=2⁢r⁢m_2-r⁢m_3$

### Component: m_2

$ddtimem_2=2⁢r⁢m_1-r⁢m_2$

### Component: m_1

$ddtimem_1=2⁢r⁢m_0-r⁢m_1$

### Component: m_0

$ddtimem_0=-r⁢m_0$

### Component: za

$ddtimeza=alpha⁢m_8+ca⁢y0+y1⁢za-ba⁢za$

### Component: zi

$ddtimezi=xi+ci⁢y0+y1⁢zi-bi⁢zilog_zi=log10⁡zi$

### Component: R0

$R0=lambda⁢etad⁢a1⁢a0+eta⁢beta+gamma⁢phiphi+d$

### Component: model_parameters

Source
Derived from workspace Wodarz, Sierro, Klenerman, 2007 at changeset 91cf00619cbc.
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