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Related papers: A Comparative Analysis of Host--Parasitoid Models …

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Theoretical models show that in a non-constant environment two predator species feeding on one and the same prey may coexist because the two species occupy different temporal niches: the one with the longer handling time has the advantage…

Populations and Evolution · Quantitative Biology 2021-10-01 Cecilia Berardo , Stefan Geritz

The inhabitants of the bush lupine in coastal California have been the subject of scientific scrutiny in recent years. Observations of a host-parasitoid interaction in the shrub's foliage, in which victims are significantly less motile than…

Populations and Evolution · Quantitative Biology 2008-09-01 Roy Werner Wright

Source-sink systems are metapopulations of patches that can be of variable habitat quality. They can be seen as graphs, where vertices represent the patches, and the weighted oriented edges give the probability of dispersal from one patch…

Probability · Mathematics 2011-11-11 Vincent Bansaye , Amaury Lambert

Patterns of nestedness and specialization asymmetry, where specialist species interact mainly with generalists while generalists interact with both generalists and specialists, are often observed in mutualistic and antagonistic bi-partite…

Populations and Evolution · Quantitative Biology 2013-02-26 C. Finn McQuaid , Nicholas F. Britton

We study a discrete host-parasitoid system where the host population follows the classical Ricker functional form and is also subject to Allee effects. We determine basins of attraction of the local attractors of the single population model…

Dynamical Systems · Mathematics 2014-04-23 Yunshyong Chow , Sophia R. -J. Jang

We perform a Bayesian analysis on abundance data for ten species of North American duck, using the results to investigate the evidence in favour of biologically motivated hypotheses about the causes and mechanisms of density dependence in…

Competition between parasitoids can reduce the success of pest control in biological programs using two species as bio-control agents or when multiple species exploit the same host crop. Parasitoid foraging behavior and the ability to…

Populations and Evolution · Quantitative Biology 2023-11-01 Idemauro Antonio Rodrigues de Lara , Gabriel Rodrigues Palma , Victor José Bon , Carolina Reigada , Rafael de Andrade Moral

We consider a bivariate first hitting-time model in which durations are the crossing times of dependent compound Poisson processes with fixed thresholds. The identifiability of the model is discussed, and likelihood estimators of the model…

Methodology · Statistics 2025-04-14 Mikael Escobar-Bach , Alexandre Popier , Malo Sahin

In ecology, foraging requires animals to expend energy in order to obtain resources. The cost of foraging can be reduced through kleptoparasitism, the theft of a resource that another individual has expended effort to acquire. Thus,…

Populations and Evolution · Quantitative Biology 2023-05-30 Debasish Bhattacharjee , Dipam Das , Santanu Acharjee , Tarini Kumar Dutta

We give a necessary and sufficient condition for species coexistence in a parasite-host growth process on infinite $d$-ary trees. The novelty of this work is that the spreading and death rates for hosts depend on the distance to the nearest…

Probability · Mathematics 2022-11-16 Sarai Hernandez-Torres , Matthew Junge , Naina Ray , Nidhi Ray

A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The…

Classical Analysis and ODEs · Mathematics 2013-11-14 Bruno Buonomo

The stabilizing effects of local enrichment are revisited. Diffusively coupled host-parasitoid and predator-prey metapopulations are shown to admit a stable fixed point, limit cycle or stable torus with a rich bifurcation structure. A…

Populations and Evolution · Quantitative Biology 2009-11-13 Gur Yaari , Sorin Solomon , Marcelo Schiffer , Nadav M. Shnerb

In this paper we continue the stability analysis of the model for coinfection with density dependent susceptible population introduced in the 1st part of the paper. We look for coexistence equilibrium points, their stability and dependence…

Dynamical Systems · Mathematics 2021-02-12 J. Andersson , S. Ghersheen , V. Kozlov , V. Tkachev , U. Wennergren

We consider a discrete-time host-parasite model for a population of cells which are colonized by proliferating parasites. The cell population grows like an ordinary Galton-Watson process, but in reflection of real biological settings the…

Probability · Mathematics 2015-05-18 Gerold Alsmeyer , Sören Gröttrup

We consider the local bifurcation and global dynamics of a predator-prey model with cooperative hunting and Allee effect. For the model with weak cooperation, we prove the existence of limit cycle, heteroclinic cycle at a threshold of…

Dynamical Systems · Mathematics 2020-07-28 Yanfei Du , Ben Niu , Junjie Wei

We investigate a diffusive predator-prey model by incorporating the fear effect into prey population, since the fear of predators could visibly reduce the reproduction of prey. By introducing the mature delay as bifurcation parameter, we…

Dynamical Systems · Mathematics 2019-05-01 Daifeng Duan , Ben Niu , Junjie Wei

This paper is concerned with existence, non-existence and uniqueness of positive (coexistence) steady states to a predator-prey system with density-dependent dispersal. To overcome the analytical obstacle caused by the cross-diffusion…

Analysis of PDEs · Mathematics 2023-04-19 De Tang , Zhi-An Wang

In the modeling of parasite transmission dynamics, understanding the reproductive characteristics of these parasites is crucial. This paper presents a mathematical model that explores the reproductive behavior of dioecious parasites and its…

Populations and Evolution · Quantitative Biology 2023-05-30 Gonzalo Maximiliano Lopez , Juan Pablo Aparicio

We study the dynamics of nonlinear random walks on complex networks. We investigate the role and effect of directed network topologies on long-term dynamics. While a period-doubling bifurcation to alternating patterns occurs at a critical…

Adaptation and Self-Organizing Systems · Physics 2020-01-29 Per Sebastian Skardal

In $1993$, Holt and Lawton introduced a stochastic model of two host species parasitized by a common parasitoid species. We introduce and analyze a generalization of these stochastic difference equations with any number of host species,…

Populations and Evolution · Quantitative Biology 2020-12-02 Sebastian J. Schreiber