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Mathematical and statistical models underlie many of the world's most important fisheries management decisions. Since the 19th century, difficulty calibrating and fitting such models has been used to justify the selection of simple,…

Although the existence of robust inverted biomass pyramids seem paradoxical, they have been observed in planktonic communities, and more recently, in pristine coral reefs. Understanding the underlying mechanisms which produce inverted…

种群与进化 · 定量生物学 2008-11-25 Hao Wang , Wendy Morrison , Abhinav Singh , Howard Weiss

The importance of the Allee effect in studying extinction vulnerability is widely recognized by researchers, and neglecting it could adversely impact the management of threatened or exploited populations [1]. In this article, we examine a…

动力系统 · 数学 2024-03-21 Rajesh Ranjan Patra , Sarit Maitra

We study the adaptive dynamics of predator-prey systems modeled by a dynamical system in which the traits of predators and prey are allowed to evolve by small mutations. When only the prey are allowed to evolve, and the size of the…

概率论 · 数学 2015-03-13 Rick Durrett , John Mayberry

We consider interacting population systems of predator-prey type, presenting four models of control strategies for epidemics among the prey. In particular to contain the transmissible disease, safety niches are considered, assuming they…

种群与进化 · 定量生物学 2014-03-04 Iulia Martina Bulai , Roberto Cavoretto , Bruna Chialva , Davide Duma , Ezio Venturino

We study a set of six-species ecological models where each species has two predators and two preys. On a square lattice the time evolution is governed by iterated invasions between the neighboring predator-prey pairs chosen at random and by…

种群与进化 · 定量生物学 2009-11-10 Gyorgy Szabo

Monitoring and enforcement considerations have been largely forgotten in the study of fishery management. This paper discusses this issue through a model formalization to show the impacts of costly, imperfect enforcement of law on the…

综合经济学 · 经济学 2023-06-30 Manuel Coelho , José António Filipe , Manuel Alberto M. Ferreira

We consider the optimal spacing between marine reserves for maximising the viability of a species occupying a reserve network. The closer the networks are placed together, the higher the probability of colonisation of an empty reserve by an…

最优化与控制 · 数学 2013-01-07 Liam Wagner , Joshua Ross , Hugh Possingham

In this paper, we analyze the dynamics of a multi-species fisheries system in the presence of harvesting. We solve the problem of finding the optimal harvesting strategy for a mid-term horizon with a fixed final stock of each species, while…

最优化与控制 · 数学 2025-01-17 L. Bayon , P. Fortuny Ayuso , P. J. Garcia-Nieto , J. A. Otero , P. M. Suarez , C. Tasis

This paper examines a discrete predator-prey model that incorporates prey refuge and its detrimental impact on the growth of the prey population. Age structure is taken into account for predator species. Furthermore, juvenile hunting as…

种群与进化 · 定量生物学 2023-08-21 Debasish Bhattacharjee , Nabajit Ray , Dipam Das , Hemanta Kumar Sarmah

Isolated populations ultimately go extinct because of the intrinsic noise of elementary processes. In multi-population systems extinction of a population may occur via more than one route. We investigate this generic situation in a simple…

种群与进化 · 定量生物学 2015-06-03 Omer Gottesman , Baruch Meerson

This article adopts game theory to build a model for explaining the predation behavior of animals.We assume that both the prey and the preydator have two stratigies in this game,the active one and the passive one.By calculating the outcome…

种群与进化 · 定量生物学 2007-05-23 Shi Chen , Sheng Bao , Ling Yan , Cheng Huang

The Allee effect describes a decline in population fitness at low densities, potentially leading to extinction. In predator-prey systems, an emergent Allee effect can arise due to interactions such as density-dependent maturation rates and…

种群与进化 · 定量生物学 2025-03-25 Carlos Granados , Leon A. Valencia

When faced with an imminent risk of predation, many animals react to escape consumption. Antipredator strategies are performed by individuals acting as a group to intimidate predators and minimize the damage when attacked. We study the…

种群与进化 · 定量生物学 2021-06-02 J. Menezes

Competitive birth-death processes often exhibit an oscillatory behavior. We investigate a particular case where the oscillation cycles are marginally stable on the mean-field level. An iconic example of such a system is the Lotka-Volterra…

种群与进化 · 定量生物学 2015-05-13 Matthew Parker , Alex Kamenev

We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that…

种群与进化 · 定量生物学 2016-03-02 E. Brigatti , M. Oliva , M. Núñez-López , R. Oliveros-Ramos , J. Benavides

We analyze a probabilistic cellular automaton describing the dynamics of coexistence of a predator-prey system. The individuals of each species are localized over the sites of a lattice and the local stochastic updating rules are inspired…

统计力学 · 物理学 2016-08-14 Tânia Tomé , Kelly C de Carvalho

In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse effect of fish abundance on the fishing effort. In this paper, based on a canonical differential equation model, we…

动力系统 · 数学 2007-05-23 Lev Idels , Mei Wang

Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator-prey equations that describe the population dynamics of the species for any structure of the food…

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

In freshwater ecosystems, aquatic insects that ontogenetically shift their habitat from aquatic to terrestrial play vital roles as prey subsidies that move nutrients and energy from aquatic to terrestrial food webs. As a result, these…

种群与进化 · 定量生物学 2023-03-15 Amit Samadder , Arnab Chattopadhyay , Sabyasachi Bhattacharya