Dynamic Analysis of a Two-Language Competitive Model with Control Strategies

Figure 1

The asymptotical stability of equilibria of model (1) with𝑐=0.5and𝛼=1: (a) the stability of trivial equilibrium(1,0,0)with𝑘=0.5and𝑠=0.7; (b) the stability of trivial equilibrium(0,1,0)with𝑘=0.3and𝑠=0.7; and (c) the stability of positive equilibrium(𝑥^∗,𝑦^∗,1−𝑥^∗−𝑦^∗)with𝑘=0.5and𝑠=0.5.

(a)

(b)

(c)