Figure 1From: Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennisA computer simulation of the impulsive differential equations (1a)–(1f). The solution trajectory tends toward the oscillatory solution \((0,0,\tilde{z}(t))\) as time progresses. Here, \({a_{1}}=0.21\), \({a_{2}}=0.1\), \({a_{3}}=0.247\), \({b_{1}}=0.2\), \({b_{2}}=0.1\), \({b_{3}}=0.1\), \({k_{1}}=0.1\), \({k_{2}}=0.017\), \(\alpha =0.1\), \(\gamma =0.9\), \(\delta =0.2\), \(T=14\), \(x(0)=5\), \(y(0)=5\), and \(z(0)=5\) in which all conditions in Theorem 1 are satisfiedBack to article page