Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
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Sharp profiles for diffusive logistic equation with spatial heterogeneity
In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
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A robust study of the transmission dynamics of zoonotic infection through non-integer derivative
In Sub-Saharan Africa, zoonotic diseases are the leading cause of sickness and mortality, yet preventing their spread has long been difficult. Vaccination initiatives have significantly reduced the frequency of zoonotic diseases mostly in African regions.
Jan Rashid +4 more
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Impact of fear in a prey-predator system with herd behaviour
Fear of predation plays an important role in the growth of a prey species in a prey-predator system. In this work, a two-species model is formulated where the prey species move in a herd to protect themselves and so it acts as a defense strategy.
Saha Sangeeta, Samanta Guruprasad
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An eco-epidemiological model with predator switching behavior
Switching mechanism is adopted by predator populations when they are provided with two types of prey: susceptible and infected. In this study, we propose a modification of an eco-epidemiological model with the predator switching mechanism.
Tripathi Deepak, Singh Anuraj
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Spatial stochastic predator-prey models [PDF]
We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic ...
Georgiev, Ivan T. +2 more
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On the Calibration of a Size-Structured Population Model from Experimental Data [PDF]
The aim of this work is twofold. First, we survey the techniques developed in (Perthame, Zubelli, 2007) and (Doumic, Perthame, Zubelli, 2008) to reconstruct the division (birth) rate from the cell volume distribution data in certain structured population
AL Koch +13 more
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A reversible allelic partition process and Pitman sampling formula [PDF]
We introduce a continuous-time Markov chain describing dynamic allelic partitions which extends the branching process construction of the Pitman sampling formula in Pitman (2006) and the birth-and-death process with immigration studied in Karlin and ...
De Blasi, Pierpaolo +2 more
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Generation of interface for an Allen-Cahn equation with nonlinear diffusion [PDF]
In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we ...
Alfaro +12 more
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Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
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