In the present manuscript, a discrete-time predator-prey system with prey immigration is considered.The existence of the possible fixed points of the system and topological jeff rosenstock buffalo classification of coexistence fixed point are analyzed.Moreover, the existence and the direction for both Neimark-Sacker bifurcation and flip bifurcation
Artificial intelligence generated content (AIGC) generated text itself carried moral and legal compliance risks, and the circulation of pet calming peanut butter generated text content need to be regulated.Therefore, there was an urgent need for copyright protection of AIGC generated text.Watermarking technology was currently the most widely used m
Abstract High-dimensional cytometry (HDC) is a powerful technology for studying single-cell phenotypes in complex biological systems.Although technological developments and affordability have made HDC broadly available in recent years, technological advances were not coupled with an adequate development of analytical methods that can take full adva
Abstract The "missing" heritability pet calming peanut butter of complex traits may be partly explained by genetic variants interacting with other genes or environments that are difficult to specify, observe, and detect.We propose a new kernel-based method called Latent Interaction Testing (LIT) to screen for genetic interactions that leverages ple