Theory and Modern Applications
Table 1 The physical interpretation of the parameters and numerical values
Parameters | Physical description | Numerical value |
|---|---|---|
\(P_{0}\) | initial population density of prey | 0.5 |
\(S_{0}\) | initial population density of susceptible predator | 0.3 |
\(I_{0}\) | initial population density infected predator | 0.2 |
a | saturation constant while susceptible predators attack the prey | 0.00073 |
b | search rate of the prey toward susceptible predator | 0.0001 |
c | conversion rate of susceptible predator due to prey | 0.0003 |
d | disease transmission coefficient | 0.007 |
k | carrying capacities of prey population | 0.003 |
\(b_{1}\) | proportionality constant | 0.004 |
\(r_{1}\) | growth rate of prey population | 0.0003 |
m | death rate of susceptible predator | 0.004 |
n | death rate of infected predator | 0.003 |