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In this paper, we study the effects of the nonlocal competition and double Allee effect in prey on a diffusive predator–prey model. We investigate the local stability of coexistence equilibrium in the predator–prey model by analyzing the eigenvalue spectrum. We study the consequence of double Allee effect on the prey population. Also, we discuss the existence of Hopf bifurcation under different parameters by using the gestation time delay of predators as a bifurcation parameter and analyzing the distribution of eigenvalues. By utilizing the normal form method and center manifold theorem, we have given some conditions that could determine the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions. Through our research, we obtain that the double Allee effect can affect the coexistence of prey and predator and induce periodic oscillations of the densities of prey and predator. In addition, the nonlocal competition can also affect the stability and homogeneity of the solutions, but may receive the consequences of the Allee effect as well as time delay. In the numerical simulation part, we further demonstrate the correctness of this conclusion by comparison. [ABSTRACT FROM AUTHOR]

Conductive hydrogel is a high-performance conductive electrode that can be used for flexible and stretchable sensors. Furthermore, the self-powered sensor devices integrated with conductive hydrogel conductive can play the role in dance posture monitoring. In this work, we proposed a carboxymethyl chitosan (CMCh)-Fe/LiCl hydrogel-based triboelectric nanogenerator (CL-TENG) to harvest human motion mechanical energy. Based on the experimental results, the average transmissivity of CMCh-Fe/LiCl hydrogel can arrive at 91.53%. Also the CMCh-Fe/LiCl hydrogel has a high rate of mechanical healing, especially at high temperatures. The CL-TENG can reach the maximum power density of 81.48 mW/m2 when the external load is 200 M Ω. The open-circuit voltage ( V oc ) and transferred charge ( Q sc ) of CL-TENG can arrive at 96 V and 32.4 nC, and the short-circuit current ( I s c) of CL-TENG can reach 1.2 μ A. The CL-TENG can also serve as the self-powered dance motion sensor to monitor the action specifications of actors in cheerleading performance. This research will promote the development of dance pose sensors. A carboxymethyl chitosan (CMCh)-Fe/LiCl hydrogel-based triboelectric nanogenerator (CL-TENG) was designed to harvest human motion mechanical energy. The average transmissivity of CMCh-Fe/LiCl hydrogel can arrive at 91.53%. The CL-TENG can reach the maximum power density of 81.48 mW/m2. The CL-TENG can also serve as the self-powered dance motion sensor to monitor the action specifications of actors in cheerleading performance. This research will promote the development of dance pose sensors. [ABSTRACT FROM AUTHOR]