Table 1

List of parameters used in models with definitions

Parameter

Definition


a

Birth rate

g

Uninfected sex ratio (proportion of female offspring)

b0

Basal death rate

s

Density dependent mortality (constant coefficient of H)

t

Time required for one host generation

ε

Efficiency of vertical transmission

θ

Efficiency of feminisation

α

Virulence (viability cost)

γ

Rate at which host clears parasite

λ

Component of virulence due to vertical transmission

(constant coefficient of ε)

μ

Efficiency of superinfection

β

Rate of horizontal transmission (proportionality constant)

σ

Component of virulence due to horizontal transmission

(constant coefficient of β)

H

Total number of hosts in population

Xm

Number of uninfected male hosts

Xf

Number of uninfected female hosts

Ym

Number of male hosts infected with parasite 1

Yf

Number of female hosts infected with parasite 1

Zm

Number of male hosts infected parasite 2

Zf

Number of female hosts infected with parasite 2

K

Carrying capacity

H*

Equilibrium population size

Y*

Equilibrium number of hosts infected with parasite 1

Z*

Equilibrium number of hosts infected with parasite 2

y

Prevalence of parasite 1

y*

Equilibrium prevalence of parasite 1

z

Prevalence of parasite 2

z*

Equilibrium prevalence of parasite 2

R0

Basic reproductive rate of uninfected cytotype in uninfected population

R1

Basic reproductive rate of parasite 1

R2

Basic reproductive rate of parasite 2


Ironside et al. BMC Evolutionary Biology 2011 11:370   doi:10.1186/1471-2148-11-370

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