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In this paper we consider a model of a nutrient-prey-predator system in a chemostat with general functional responses, using the input concentration of nutrient as the bifurcation parameter. We study the changes in the existence of isolated…

动力系统 · 数学 2019-11-20 Mary Ballyk , Ibrahim Jawarneh , Ross Staffeldt

We propose a novel predator-prey model that integrate two ecologically significant mechanisms: the Allee effect in the prey population and cooperative hunting behavior among predators. Building upon the Rosenzweig-MacArthur framework, our…

动力系统 · 数学 2026-01-19 Yujie Gao , Ton Viet Ta

In biopharmaceutical manufacturing, fermentation processes play a critical role in productivity and profit. A fermentation process uses living cells with complex biological mechanisms, leading to high variability in the process outputs,…

机器学习 · 统计学 2024-07-09 Bo Wang , Wei Xie , Tugce Martagan , Alp Akcay , Bram van Ravenstein

In this paper, we investigate the global boundedness, asymptotic stability and pattern formation of predator-prey systems with density-dependent preytaxis in a two-dimensional bounded domain with Neumann boundary conditions, where the…

偏微分方程分析 · 数学 2019-07-05 Hai-Yang Jin , Zhi-An Wang

We present a computational framework to investigate steady state distributions and perform stability analysis for random ordinary differential equations driven by parameter uncertainty. Using the nonlinear Rosenzweig McArthur predator prey…

动力系统 · 数学 2026-03-05 Wolfgang Hoegele

We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are non-linear, and are based on ratio-dependent functional responses. The equations account for…

适应与自组织系统 · 物理学 2007-05-23 Barbara Drossel , Paul G. Higgs , Alan J. McKane

We study a simple model of a foraging animal that modifies the substrate on which it moves. This substrate provides its only resource, and the forager manage it by taking a limited portion at each visited site. The resource recovers its…

种群与进化 · 定量生物学 2016-11-23 Laila Daniela Kazimierski , Guillermo Abramson , Marcelo Néstor Kuperman

The dynamics of predator-prey systems influenced by intra-specific competition and additional food resources have increasingly become a subject of rigorous study in the realm of mathematical biology. In this study, we consider an additional…

动力系统 · 数学 2025-04-28 D Bhanu Prakash , D K K Vamsi

In this paper, an attempt is made to understand the dynamics of a three-dimensional discrete fractional-order eco-epidemiological model with Holling type II functional response. We first discretize a fractional-order predator-prey-parasite…

动力系统 · 数学 2021-04-15 Shuvojit Mondal , Xianbing Cao , Nandadulal Bairagi

This paper investigates a discrete energy state transition model for energy harvesting (EH) in cell-free massive multiple-input-multiple-output (CF-mMIMO) networks. A Markov chain-based stochastic process is conceived to characterize the…

信号处理 · 电气工程与系统科学 2025-05-23 Muhammad Zeeshan Mumtaz , Mohammadali Mohammadi , Hien Quoc Ngo , Michail Matthaiou

We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly…

种群与进化 · 定量生物学 2011-11-10 Per Arne Rikvold

We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the previous impulses. A close connection to the dynamics of…

动力系统 · 数学 2022-10-13 Jennifer Lawson , Elena Braverman

The provision of additional food (AF) sources to an introduced predator has been identified as a mechanism to improve pest control. However, AF models with prey dependent functional responses can cause unbounded growth of the predator…

动力系统 · 数学 2023-12-20 Sureni Wickramasooriya , Jonathan Martin , Aniket Banerjee , Rana D. Parshad

We consider a Rosenzweig-MacArthur predator-prey system which incorporates logistic growth of the prey in the absence of predators and a Holling type II functional response for interaction between predators and preys. We assume that…

动力系统 · 数学 2017-02-16 Niklas L. P. Lundström , Gunnar Söderbacka

In this paper, a novel electret-based capacitive energy harvesting device has been developed according to out-of-plane gap closing scheme. The device is composed of a micro cantilever and a substrate which form a variable capacitor and is…

介观与纳米尺度物理 · 物理学 2017-02-01 Mahyar Ghavami Khabir , Saber Azizi , Mohammad Reza Ghazavi

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

统计力学 · 物理学 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

概率论 · 数学 2020-12-29 Lea Popovic , Liam Peuckert

In this work the problem of optimal harvesting policy selection for natural resources management under model uncertainty is investigated. Under the framework of the neoclassical growth model dynamics, the associated optimal control problem…

最优化与控制 · 数学 2023-10-24 Georgios I. Papayiannis

We theoretically study the efficiency of energy harvesting in linear exciton chains with an energy bias, where the initial excitation is taking place at the high-energy end of the chain and the energy is harvested (trapped) at the other…

无序系统与神经网络 · 物理学 2007-10-21 S. M. Vlaming , V. A. Malyshev , J. Knoester

Sustainable use of biological resources is very important as over exploitation on the long run may lead to stock depletion, which in turn may threaten biodiversity. The Chesapeake Bay is an extremely complex ecosystem, and sustainable…

种群与进化 · 定量生物学 2023-01-13 Iordanka Panayotova , John Herrmann , Nathan Kolling