Sentence examples for competitive cases from inspiring English sources

By virtue of the average Lyapunov functions approach developed by Hofbauer et al. [3], he gave some permanence conditions and applied them to prey-predator and competitive cases.

In the competitive case, by (rho =1) and (upsilon =0).

Competitive case: (pi ^ = min left{ 1,frac{1}{2left( 1-upsilon right) }right} ).

b) For the competitive case, the result follows from part c) in Proposition 1.

For the competitive case, the result follows from part b) in Proposition 1.

)   b) Competitive case: (pi ^ = min left{ 1,frac{1}{2left( 1-upsilon right) }right} ).  .

The (upsilon ) that maximizes tax income in the competitive case is represented in Fig. 1.

I think you want to think about your competitive case broadly.

Maximum tax income is achieved as follows: c1) In the competitive case, by (rho =1) and (upsilon =0).

c) Maximum tax income is achieved as follows: c1) In the competitive case, by (rho =1) and (upsilon =0).

For the competitive case, Proposition 2) and Proposition 6 provide the same characterization for (pi ^H) and (pi ^A).