Skip to main content

Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Analysis of a stochastic single species model with Allee effect and jump-diffusion

Figure 1

Solutions of Eq. (3) with \(r=0.4\), \(\beta_{1}=0.1\), \(\beta_{2}=0.2\), \(\alpha=0.3\), \(\xi^{2}=0.2\), \(\mathbb{X}=(0,+\infty)\), \(\pi(\mathbb{X})=1\), step size \(\Delta t=0.001\): (a\(\theta(x)\equiv0.3504\), hence \(\mu=0.05>0\). This figure shows that the species is SP; (b\(\theta(x)\equiv0.7722\), hence \(\beta_{1}>\beta_{2}^{2}\alpha\) and \(\mu=-0.1\). This figure shows that the species is extinctive. The numerical method is the Euler scheme in [22]. The parameter values are hypothetical

Back to article page