Table 1.
Definitions of notations in system (1)
| Notation | Description | Units |
|---|---|---|
|
, vector of the cell counts for two phenotypes |
11 |
|
serum PSA level |
|
|
diag{ ,  }2, inherent growth
rate for two phenotypes |
1/day |
|
diag{ ,  }, cell counts for two
phenotypes |
1 |
|
, vector of 
|
1 |
|
time-varied competitive community matrix | 1 |
|
diag{ ,  }, carrying capacity for two
phenotypes |
1 |
|
drug pressure: drug-induced decay rate for cells | 1 |
|
constant, hyper-parameter of competition-induced decay | 1 |
|
the secretion rate of PSA |
/day |
|
the decay rate of PSA | 1/day |
denotes no unit for this variable. 
denotes diagonal matrix with the diagonal entries are 
and 