This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive...This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive solutions for these stable_diffusion models under some conditions.展开更多
This study introduces a Landscape Information Modeling±Stable Diffusion(LIM±SD)-based digital workflow for ecological engineered landscaping(EEL)design,focusing on urban river wetlands.It explores how studen...This study introduces a Landscape Information Modeling±Stable Diffusion(LIM±SD)-based digital workflow for ecological engineered landscaping(EEL)design,focusing on urban river wetlands.It explores how students from diverse academic backgrounds perform EEL tasks using the LIM±SD approach.A total of 30 participants,including industrial design postgraduates and landscape architecture undergraduates and postgraduates,completed the design tasks.The efficacy of their designs was assessed through expert evaluations on site appropriateness,aesthetics,spatial layout,and eco-engineering techniques of the design proposals,as well as the parametric simulation which calculated the vegetation coverage rate and proportion of riparian areas for each design.Moreover,evaluation of participants’subjective design experiences was conducted via questionnaires.Results indicated that landscape architecture postgraduates outperformed others applying ecological engineering principles.The study also elucidated discrepancies between LIM models and SD-generated renderings,as well as the uncertainty of SDgenerated renderings,suggesting improvements are needed to align digital outputs with ecological design criteria.展开更多
In this paper, a nonautonomous predator-prey dispersion model is studied, where all parameters are time-dependent. The system, which is consisted of n-patches, the prey specics can disperse among n-patches, but the pr...In this paper, a nonautonomous predator-prey dispersion model is studied, where all parameters are time-dependent. The system, which is consisted of n-patches, the prey specics can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved the system is uniformly persistent under any dispersion rates effect. Furthermore, sufficient conditions are established for global stability of the system.展开更多
The authors study a diffusive prey-predator model subject to the homogeneous Neumann boundary condition and give some qualitative descriptions of solutions to this reaction-diffusion system and its corresponding stead...The authors study a diffusive prey-predator model subject to the homogeneous Neumann boundary condition and give some qualitative descriptions of solutions to this reaction-diffusion system and its corresponding steady-state problem. The local and global stability of the positive constant steady-state are discussed, and then some results for non- existence of positive non-constant steady-states are derived.展开更多
文摘This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive solutions for these stable_diffusion models under some conditions.
文摘This study introduces a Landscape Information Modeling±Stable Diffusion(LIM±SD)-based digital workflow for ecological engineered landscaping(EEL)design,focusing on urban river wetlands.It explores how students from diverse academic backgrounds perform EEL tasks using the LIM±SD approach.A total of 30 participants,including industrial design postgraduates and landscape architecture undergraduates and postgraduates,completed the design tasks.The efficacy of their designs was assessed through expert evaluations on site appropriateness,aesthetics,spatial layout,and eco-engineering techniques of the design proposals,as well as the parametric simulation which calculated the vegetation coverage rate and proportion of riparian areas for each design.Moreover,evaluation of participants’subjective design experiences was conducted via questionnaires.Results indicated that landscape architecture postgraduates outperformed others applying ecological engineering principles.The study also elucidated discrepancies between LIM models and SD-generated renderings,as well as the uncertainty of SDgenerated renderings,suggesting improvements are needed to align digital outputs with ecological design criteria.
基金Supported by the Natural Science Foundatioll of Henan province (994051600)
文摘In this paper, a nonautonomous predator-prey dispersion model is studied, where all parameters are time-dependent. The system, which is consisted of n-patches, the prey specics can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved the system is uniformly persistent under any dispersion rates effect. Furthermore, sufficient conditions are established for global stability of the system.
基金Project supported by the National Natural Science Foundation of China (Nos. 10801090, 10726016)
文摘The authors study a diffusive prey-predator model subject to the homogeneous Neumann boundary condition and give some qualitative descriptions of solutions to this reaction-diffusion system and its corresponding steady-state problem. The local and global stability of the positive constant steady-state are discussed, and then some results for non- existence of positive non-constant steady-states are derived.
