In this paper, we prove the existence of forced waves for Leslie-Gower prey-predator model with nonlocal effects under shifting environment. By constructing a pair of upper and lower solutions with the method of monot...In this paper, we prove the existence of forced waves for Leslie-Gower prey-predator model with nonlocal effects under shifting environment. By constructing a pair of upper and lower solutions with the method of monotone iteration, we can obtain the existence of forced waves for any positive constant shifting speed. Finally, we show the asymptotical behavior of traveling wave fronts in two tails.展开更多
This paper investigates the propagation dynamics of nonlocal dispersal cooperative systems within a shifting environment characterized by a contracting favorable region.We examine two distinct types of dispersal kerne...This paper investigates the propagation dynamics of nonlocal dispersal cooperative systems within a shifting environment characterized by a contracting favorable region.We examine two distinct types of dispersal kernels.For thin-tailed kernels,we study the existence,uniqueness,and stability of forced waves using upper and lower solutions,the sliding method,and the dynamical systems approach.In the case of partially heavy-tailed kernels,considering compactly supported initial value functions,we demonstrate that for each species,the right side of the level sets exhibits accelerated rightward propagation,while transferability occurs.Conversely,the propagation on the left side does not move leftward but rather rightward,with a spreading speed equivalent to that of the shifting environment.Consequently,species with thin-tailed kernels inherently persist in a shifting habitat,provided they are part of a cooperative and irreducible system that includes at least one species with a heavy-tailed kernel,regardless of the magnitude of the shifting environment's speed.This behavior markedly diverges from the dynamics observed in scalar equations.展开更多
In this paper,we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment.It is known that Choi et al.[J Differ Equ,2021,302:807-853]studied the persistence or ext...In this paper,we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment.It is known that Choi et al.[J Differ Equ,2021,302:807-853]studied the persistence or extinction of the prey and of the predator separately in various moving frames.In particular,they achieved a complete picture in the local diffusion case.However,the question of the persistence of the prey and of the predator in some intermediate moving frames in the nonlocal diffusion case was left open in Choi et al.'s paper.By using some a prior estimates,the Arzelà-Ascoli theorem and a diagonal extraction process,we can extend and improve the main results of Choi et al.to achieve a complete picture in the nonlocal diffusion case.展开更多
In order to meet the demands of underwater acoustic communication in under ice environment,a differential Pattern time delay shift coding underwater acoustic communication method based on parametric array is introduce...In order to meet the demands of underwater acoustic communication in under ice environment,a differential Pattern time delay shift coding underwater acoustic communication method based on parametric array is introduced in this paper.The under ice underwater acoustic channel is characterized by heavy multipath transmission.Under this model,a parametric array emission method of Pattern signal is derived and the system performance is analyzed.A broadband low frequency sound waves with narrow beam-pattern,which will reduce the interface reflections and suppress the effects of multipath transmission,can be obtained by the emission method.The Songhua River under ice trial results show that there is an anti-multipath property and a higher data rate in the under-ice acoustic channel in proposed approach.展开更多
文摘In this paper, we prove the existence of forced waves for Leslie-Gower prey-predator model with nonlocal effects under shifting environment. By constructing a pair of upper and lower solutions with the method of monotone iteration, we can obtain the existence of forced waves for any positive constant shifting speed. Finally, we show the asymptotical behavior of traveling wave fronts in two tails.
基金supported by National Natural Science Foundation of China(No.1253100812271226+1 种基金12201434)R&D Program of Beijing Municipal Education Commission(No.KM202310028017)。
文摘This paper investigates the propagation dynamics of nonlocal dispersal cooperative systems within a shifting environment characterized by a contracting favorable region.We examine two distinct types of dispersal kernels.For thin-tailed kernels,we study the existence,uniqueness,and stability of forced waves using upper and lower solutions,the sliding method,and the dynamical systems approach.In the case of partially heavy-tailed kernels,considering compactly supported initial value functions,we demonstrate that for each species,the right side of the level sets exhibits accelerated rightward propagation,while transferability occurs.Conversely,the propagation on the left side does not move leftward but rather rightward,with a spreading speed equivalent to that of the shifting environment.Consequently,species with thin-tailed kernels inherently persist in a shifting habitat,provided they are part of a cooperative and irreducible system that includes at least one species with a heavy-tailed kernel,regardless of the magnitude of the shifting environment's speed.This behavior markedly diverges from the dynamics observed in scalar equations.
基金supported by the National Natural Science Foundation of China(12171039,12271044)。
文摘In this paper,we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment.It is known that Choi et al.[J Differ Equ,2021,302:807-853]studied the persistence or extinction of the prey and of the predator separately in various moving frames.In particular,they achieved a complete picture in the local diffusion case.However,the question of the persistence of the prey and of the predator in some intermediate moving frames in the nonlocal diffusion case was left open in Choi et al.'s paper.By using some a prior estimates,the Arzelà-Ascoli theorem and a diagonal extraction process,we can extend and improve the main results of Choi et al.to achieve a complete picture in the nonlocal diffusion case.
基金supported by the National Natural Science Foundation of China(61471137,61631008)Fok Ying Tung Education Foundation(151007)the 13th Five-Year Plan Communication Information Control and Security Technology Key Laboratory Foundation(61421060301162106001)
文摘In order to meet the demands of underwater acoustic communication in under ice environment,a differential Pattern time delay shift coding underwater acoustic communication method based on parametric array is introduced in this paper.The under ice underwater acoustic channel is characterized by heavy multipath transmission.Under this model,a parametric array emission method of Pattern signal is derived and the system performance is analyzed.A broadband low frequency sound waves with narrow beam-pattern,which will reduce the interface reflections and suppress the effects of multipath transmission,can be obtained by the emission method.The Songhua River under ice trial results show that there is an anti-multipath property and a higher data rate in the under-ice acoustic channel in proposed approach.
