Fig. 3
From: The evolutionary mechanism of information negentropy spurred by emergencies
Numerical solution of \(\:x\left(t\right)\) and \(\:{x}_{1}\left(t\right)\) under emergency intervention. Simulated with parameters \(\:r=0.5\), \(\:K=1000\), \(\:\alpha\:=0.1\), \(\:\beta\:=0.2\), \(\:{r}_{1}=0.2\), \(\:{K}_{1}=500\). The curve of \(\:x\left(t\right)\) transitions from a “double-S” to a “triple-S” structure as emergency inputs are introduced at different times, while \(\:{x}_{1}\left(t\right)\) reflects the corresponding behavioral response with a noticeable time lag. The two vertical dashed lines denote the zero points of the third derivative of \(\:x\left(t\right)({t}_{1}=7.0066,\:{t}_{2}=12.2745)\), which divide the process into three stages: latent, diffusion, and decline.
