Figure 3From: Stability, Hopf bifurcation and effects of impulsive antibiotic treatments in a model of drug resistance with conversion delayTime series solution under impulsive drug treatments and delay. Numerical solution of (32)–(33) where the sensitive and resistant strains undergo impulsive jumps every time drug treatment is applied. Here, \(x ( 0 ) = 0.3\), \(y ( 0 ) = 0.4\), \(z ( 0 ) = 0.5\), \(a_{1} = 2.407407\), \(a_{2} = 0.023077\), \(a_{3} = 0.00196\), \(a_{4} = 0.0007\), \(\omega _{1} = 0.7\), \(\omega _{2} = 0.7\), \(\omega _{3} = 0.7\), \(K_{S} = 0.7\), \(K_{\gamma } = 4.3\), \(K_{R} = 5.0\), \(\varepsilon _{r} = 0.9\), \(\gamma = 4.0\), \(\mu = 0.01\), \(z^{*} = 5.0\), \(\tau = 0.1\) and \(\psi _{R} = 0.5\), \(r = 0.1\), \(p = 1.0\), \(T = 3\)Back to article page