Results 61 to 70 of about 1,672 (154)

Dynamical behavior for a stochastic two-species competitive model

open access: yesOpen Mathematics, 2017
This paper deals with a stochastic two-species competitive model. Some very verifiable criteria on the global stability of the positive equilibrium of the deterministic system are established.
Xu Changjin, Liao Maoxin
doaj   +1 more source

A note on the existence of non-monotone non-oscillating wavefronts

open access: yes, 2013
In this note, we present a monostable delayed reaction-diffusion equation with the unimodal birth function which admits only non-monotone wavefronts.
Gomez, Carlos   +2 more
core   +1 more source

Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative

open access: yesComplexity, Volume 2025, Issue 1, 2025.
This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara   +2 more
wiley   +1 more source

Local exact controllability of the age‐dependent population dynamics with diffusion

open access: yesAbstract and Applied Analysis, Volume 6, Issue 6, Page 357-368, 2001., 2001
We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in L k and the Banach fixed point theorem.
Bedr′eddine Ainseba, Sebastian Anita
wiley   +1 more source

Fractional Age‐Structured Modeling of Measles: Application of Inverse Methods

open access: yesComplexity, Volume 2025, Issue 1, 2025.
This study introduces a novel fractional age‐structured Susceptibles‐Exposed‐Infective‐Hospitalized‐Recovered‐Adults (SEIHRA) model, designed to analyze measles transmission dynamics, particularly in younger populations. By incorporating age structure and an innovative inverse method, the model bridges mathematical rigor with empirical data. We examine
Yan Qiao   +4 more
wiley   +1 more source

Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya   +4 more
wiley   +1 more source

Mathematical Analysis of a Resource‐Based Dispersal Model With Gompertz Growth and Optimal Harvesting

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman   +6 more
wiley   +1 more source

Coastal fisheries adaptations to increasing climate change exposure in Japan

open access: yesPeople and Nature, Volume 6, Issue 6, Page 2339-2356, December 2024.
Abstract Climate change‐driven ocean warming is altering the geographic ranges of species, leading to a poleward shift of tropical species into temperate regions (tropicalisation). This threatens the native marine community assemblages by changing the availability of traditional marine resources, thus impacting the livelihood and well‐being of coastal ...
Xochitl Édua Elías Ilosvay   +3 more
wiley   +1 more source

Relative frequencies in multitype branching processes

open access: yes, 2009
This paper considers the relative frequencies of distinct types of individuals in multitype branching processes. We prove that the frequencies are asymptotically multivariate normal when the initial number of ancestors is large and the time of ...
Yakovlev, Andrei Y., Yanev, Nikolay M.
core   +2 more sources

Global Continua of Positive Equilibria for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition

open access: yes, 2012
This paper is concerned with a quaslinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion.
Ch Walker   +14 more
core   +1 more source

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