一个格子气体模型为 A 被介绍 <SUB>2</SUB>+ 2B <SUB>2</SUB>→
有在二种尺寸的粒子散开的 2B <SUB>2</SUB> A 反应系统。在模型， B <SUB>2</SUB> 在随机的暗淡充满的机制...一个格子气体模型为 A 被介绍 <SUB>2</SUB>+ 2B <SUB>2</SUB>→
有在二种尺寸的粒子散开的 2B <SUB>2</SUB> A 反应系统。在模型， B <SUB>2</SUB> 在随机的暗淡充满的机制分裂， <SUB>2</SUB> 在在端点的更暗淡的充满机制分裂。一扇反应窗户出现，系统从一个反应状态展出连续阶段转变到“一个 B + 空缺”盖住的状态与无穷地许多吸收状态。当粒子 B 的散开被考虑时，仅仅有二吸收状态。连续阶段转变的批评行为与散开(PCPD ) 从指导过滤(DP ) 把班改变到对接触过程，这被发现班。展开更多
In this paper,we consider nonnegative classical solutions of a Quasi-linear reaction-diffusion system with nonlinear boundary conditions.We prove the uniqueness of a nonnegative classical solution to this problem.
<正> We have further investigated Turing patterns in a reaction-diffusion system by theoretical analysis andnumerical simulations.Simple Turing patterns and complex superlattice structures are observed.We find t...<正> We have further investigated Turing patterns in a reaction-diffusion system by theoretical analysis andnumerical simulations.Simple Turing patterns and complex superlattice structures are observed.We find that the shapeand type of Turing patterns depend on dynamical parameters and external periodic forcing,and is independent of effectivediffusivity rate σ in the Lengyel-Epstein model.Our numerical results provide additional insight into understanding themechanism of development of Turing patterns and predicting new pattern formations.展开更多
In this paper, the asymptotic behavior of three types of population models with delays and diffusion is studied. The first represents one species growth in the patch Ω and periodic environment and with delays recruit...In this paper, the asymptotic behavior of three types of population models with delays and diffusion is studied. The first represents one species growth in the patch Ω and periodic environment and with delays recruitment, the second models a single species dispersal among the m patches of a heterogeneous environment, and the third models the spread of bacterial infections. Sufficient conditions for the global attractivity of periodic solution are obtained by the method of monotone theory and strongly concave operators. Some earlier results are extended to population models with delays and diffusion.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No.10575055
文摘一个格子气体模型为 A 被介绍 <SUB>2</SUB>+ 2B <SUB>2</SUB>→
有在二种尺寸的粒子散开的 2B <SUB>2</SUB> A 反应系统。在模型， B <SUB>2</SUB> 在随机的暗淡充满的机制分裂， <SUB>2</SUB> 在在端点的更暗淡的充满机制分裂。一扇反应窗户出现，系统从一个反应状态展出连续阶段转变到“一个 B + 空缺”盖住的状态与无穷地许多吸收状态。当粒子 B 的散开被考虑时，仅仅有二吸收状态。连续阶段转变的批评行为与散开(PCPD ) 从指导过滤(DP ) 把班改变到对接触过程，这被发现班。
基金Supported by the National Natural Science Foundation of China(90410011)
文摘In this paper,we consider nonnegative classical solutions of a Quasi-linear reaction-diffusion system with nonlinear boundary conditions.We prove the uniqueness of a nonnegative classical solution to this problem.
基金National Natural Science Foundation of China under Grant Nos.10472091,10332030 and 10502042the Natural Science Foundation of Shanxi Province under Grant No.2003A03
基金National Natural Science Foundation of China under Grant Nos.10447007 and 10671156the Natural Science Foundation of Shaanxi Province of China under Grant No.2005A13
基金The project supported by National Natural Science Foundation of China under Grant No. 10374089 and the Knowledge Innovation Program of the Chinese Academy of Sciences under Grant No. KJCX2-SW-W17
文摘<正> We have further investigated Turing patterns in a reaction-diffusion system by theoretical analysis andnumerical simulations.Simple Turing patterns and complex superlattice structures are observed.We find that the shapeand type of Turing patterns depend on dynamical parameters and external periodic forcing,and is independent of effectivediffusivity rate σ in the Lengyel-Epstein model.Our numerical results provide additional insight into understanding themechanism of development of Turing patterns and predicting new pattern formations.
基金This research is supported by the Developing Fund of Nanjing University of Science and Technology.
文摘In this paper, the asymptotic behavior of three types of population models with delays and diffusion is studied. The first represents one species growth in the patch Ω and periodic environment and with delays recruitment, the second models a single species dispersal among the m patches of a heterogeneous environment, and the third models the spread of bacterial infections. Sufficient conditions for the global attractivity of periodic solution are obtained by the method of monotone theory and strongly concave operators. Some earlier results are extended to population models with delays and diffusion.
