搜索到784篇“ PREY-PREDATOR“的相关文章
Effect of random movement and cooperative hunting in the prey-predator system:A dynamical approach
2024年
Self-diffusion prerequisite is obtained as the spreading approach of biological populations.Cooperative hunting is a common behavior in predator populations that promotes predation and the coexistence of the prey-predator system.On the other side,the Allee effect among prey may cause the system to become unstable.In this paper,a difusive prey predator system with cooperative hunting and the weak Allee effect in prey populations is discussed.The linear stability and Hopf-bifurcation analysis had been used to examine the system's stability.From the spatial stability of the system,the conditions for Turing instability have been derived.The multiple-scale analysis has been used to derive the amplitude equations of the system.The stability analysis of these amplitude equations leads to the formation of Turing patterns.Finally,numerical simulations are used to analyze spatial patterns forming in 1-D and 2-D.The studies indicate that the model can generate a complex pattern structure and that self-diffusion has a drastic impacton species distribution.
ShivamTeekam SinghMukesh Kumar
关键词:HOPF-BIFURCATION
Fractional order prey-predator model incorporating immigration on prey:Complexity analysis and its control
2024年
In this paper,the Caputo fractional derivative is assumed to be the prey-predator model.In order to create Caputo fractional differential equations for the prey-predator model,a discretization process is first used.The fixed points of the model are categorized topologically.We identify requirements for the fixed points of the suggested prey-predator model's local asymptotic stability.We demonstrate analytically that,under specific parametric conditions,a fractional order prey-predator model supports both a Neimark-Sacker(NS)bifurcation and a Flip bifurcation.We present evidence for NS and Flip bifurcations using central manifold and bifurcation theory.The parameter values and the initial conditions have been found to have a profound impact on the dynamical behavior of the fractional order prey-predator model.As the bifurcation parameter is increased,the system displays chaotic behavior.Numerical simulations are shown to demonstrate chaotic behaviors like bifurcations,phase portraits,invariant closed cycles,and attractive chaotic sets in addition to validating analytical conclusions.The suggested prey-predator dynamical system's chaotic behavior will be controlled by the OGY and hybrid control methodology,which will also visualize the chaotic state for various biological parameters.
Md.Jasim UddinChandra Nath Podder
关键词:IMMIGRATION
Dynamical behaviors of a constant prey refuge ratio-dependent prey-predator model with Allee and fear effects
2024年
In this paper,we consider a nonlinear ratio-dependent prey-predator model with constant prey refuge in the prey population.Both Allee and fear phenomena are incorporated explicitly in the growth rate of the prey population.The qualitative behaviors of the proposed model are investigated around the equilibrium points in detail.Hopf bifurcation including its direction and stability for the model is also studied.We observe that fear of predation risk can have both stabilizing and destabilizing effects and induces bubbling phenomenon in the system.It is also observed that for a fixed strength of fear,an increase in the Allee parameter makes the system unstable,whereas an increase in prey refuge drives the system toward stability.However,higher values of both the Allee and prey refuge parameters have negative impacts and the populations go to extinction.Further,we explore the variation of densities of the populations in different bi-parameter spaces,where the coexistence equilibrium point remains stable.Numerical simulations are carried out to explore the dynamical behaviors of the system with the help of MATLAB software.
Soumitra PalPijush PandayNikhil PalA.K.MisraJoydev Chattopadhyays
关键词:BIFURCATION
Dynamical Properties of a Discrete Lesley-Gower Prey-Predator Model with Holling-II Type Functional Response
2024年
In this paper, we will study a class of discrete Leslie-Gower prey-predator models, which is a discretization of the continuous model proposed by Leslie and Gower in 1960. First, we find all fixed points, use hyperbolic and non-hyperbolic conditions to give the types of fixed points, and then analyze the bifurcation properties of non-hyperbolic fixed points. The generating conditions of Flip bifurcation and Neimark-Sacker bifurcation at fixed points are studied. Finally, numerical simulations of Flip bifurcation and Neimark-Sacker bifurcation are given.
Kaile QiuWanying LiDonghuan HeGuoqiang QianXiaoliang Zhou
带有时滞和收获的扩散捕食系统的斑图动力学分析
2024年
文章研究了一类带有食饵收获效应和时滞的捕食系统的Turing斑图的形成及选择问题。首先利用稳定性理论给出了由交叉扩散项引起的Turing不稳定条件和分支理论分析,得到了系统Turing斑图的存在区域。然后利用Matlab软件对系统Turing斑图的形成和选择结果进行了数值模拟。这为以后带有交叉扩散的时滞反应扩散系统的研究提供了可行的方法,具有广泛的理论应用价值。
常红翠焦建锋王战伟张理涛
关键词:捕食系统扩散时滞
污染环境下具有Markov切换的随机食饵-捕食渔业模型及其最优收获
2024年
本文研究在污染环境中具有白噪声和Markov切换的随机食饵-捕食者渔业模型的最优收获策略.首先证明全局正解的存在唯一性,讨论种群灭绝和持久的阈值.通过构造适当的Lyapunov函数得到遍历平稳分布存在的充分条件.应用遍历方法研究模型的最优收获策略.最后,提供一些数值模拟来证明理论分析.分析表明, Markov切换可以抑制种群的灭绝,而白噪声强度和污染物浓度对最优收获策略有明显的负面影响.
钟琪琪韦煜明
关键词:食饵-捕食者模型环境污染
基于PPO-NN的数据驱动重介质选煤预测模型
2024年
针对重介质选煤工艺过程复杂、非线性强、难以建立精确数学模型的问题,将捕食-食饵(Prey-Predator Optimization,PPO)算法的全局优化能力与神经网络(Neural Network,NN)的非线性映射能力相结合,建立了基于工业数据的重介质选煤灰分质量分数的预测模型。通过将NN的连接权重及阈值转换成PPO算法的可行解,再通过该优化算法更新可行解,寻找到能够使预测模型输出值与真实值相差最小的网络权重与阈值。通过实验验证了所提方法的有效性,基于PPO-NN所得灰分预测模型的均方根误差、平均绝对误差、决定系数等多个运行指标均优于传统神经网络。
张云飞
关键词:重介质选煤
Dynamics of a delay-induced prey-predator system with interaction between immature prey and predators
2024年
In biological pest control systems,several pests(including insects,mites,weeds,etc.)are controlled by biocontrol agents that rely primarily on predation.Following this biocontrol management ecology,we have created a three-tier prey-predator model with prey phase structure and predator gestation delay.Several studies have demonstrated that predators with Holling type-II functional responses sometimes consume immature prey.A study of the well-posedness and local bifurcation(such as saddle-node and transcritical)near the trivial and planer equilibrium points is carried out.Without any time lag,the prey development coeficient has a stabilizing impact,while increasing attack rate accelerates instability.Energy transformation rate and handling time are shown to cause multiple stability switches in the system.Numerical results demonstrate time delay is the key destabilizer that destroys stability.Our model can replicate more realistic events by including time-dependent factors and exploring the dynamic behavior of nonautonomous systems.In the presence of time delay,sufficient conditions of permanence and global attractivity of the nonautonomous system are derived.Finally,MATLAB simulations are performed to validate the analytical findings.
Soumik PandeyAbhijit SarkarDebashis DasSarbani Chakraborty
关键词:STAGE-STRUCTURESEASONALITY
一类具有避难所和时滞的非自治阶段结构捕食系统的动力学分析
2024年
研究了一类具有阶段结构的捕食者与具有避难所的两类竞争性食饵的捕食系统。利用比较定理,得到了系统一致持久的充分条件。根据Leray-Schauder不动点定理以及构造合适的Lyapunov函数,得到了系统正周期解的存在性和全局渐近稳定性的充分条件。结果表明,增加避难所数量并提高其对食饵的庇护能力,可以增加食饵的种群密度,有效防止捕食者种群数量急剧下降,从而实现三者共存,进而达到保护物种多样性、维护生态系统平衡的目的。
宋鸽甘静雯
关键词:避难所时滞非自治捕食系统全局渐近稳定
Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect
2024年
This work investigates a prey-predator model featuring a Holling-type II functional response,in which the fear effect of predation on the prey species,as well as prey refuge,are considered.Specifically,the model assumes that the growth rate of the prey population decreases as a result of the fear of predators.Moreover,the detection of the predator by the prey species is subject to a delay known as the fear response delay,which is incorporated into the model.The paper establishes the preliminary conditions for the solution of the delayed model,including positivity,boundedness and permanence.The paper discusses the existence and stability of equilibrium points in the model.In particular,the paper considers the discrete delay as a bifurcation parameter,demonstrating that the system undergoes Hopf bifurcation at a critical value of the delay parameter.The direction and stability of periodic solutions are determined using central manifold and normal form theory.Additionally,the global stability of the model is established at axial and positive equilibrium points.An extensive numerical simulation is presented to validate the analytical findings,including the continuation of the equilibrium branch for positive equilibrium points.
Ankit ParwaliyaAnuraj SinghAjay Kumar

相关作者

江成顺
作品数:4被引量:0H指数:0
供职机构:解放军信息工程学院
研究主题:方程组 整体强解 ZAKHAROV方程组 初边值问题 BM
宋长明
作品数:18被引量:41H指数:2
供职机构:郑州纺织工学院
研究主题:初边值问题 非线性 耦合方程组 整体强解 整体解
徐天华
作品数:15被引量:10H指数:2
供职机构:四川民族学院数学系
研究主题:上下解 时滞 不动点 周期解 扩散