Results 21 to 30 of about 1,672 (154)

Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis

open access: yesAdvanced Nonlinear Studies, 2023
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
doaj   +1 more source

Sharp profiles for diffusive logistic equation with spatial heterogeneity

open access: yesAdvanced Nonlinear Studies, 2023
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
doaj   +1 more source

A robust study of the transmission dynamics of zoonotic infection through non-integer derivative

open access: yesDemonstratio Mathematica, 2022
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
doaj   +1 more source

Impact of fear in a prey-predator system with herd behaviour

open access: yesComputational and Mathematical Biophysics, 2021
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
doaj   +1 more source

An eco-epidemiological model with predator switching behavior

open access: yesComputational and Mathematical Biophysics, 2023
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
doaj   +1 more source

Spatial stochastic predator-prey models [PDF]

open access: yes, 2006
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
core   +1 more source

On the Calibration of a Size-Structured Population Model from Experimental Data [PDF]

open access: yes, 2009
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
core   +5 more sources

A reversible allelic partition process and Pitman sampling formula [PDF]

open access: yes, 2020
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
core   +2 more sources

Generation of interface for an Allen-Cahn equation with nonlinear diffusion [PDF]

open access: yes, 2009
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
core   +4 more sources

Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay

open access: yesOpen Mathematics, 2022
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
doaj   +1 more source

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