Results 51 to 60 of about 1,808 (165)

Global regularity of two-dimensional flocking hydrodynamics [PDF]

open access: yes, 2017
We study the systems of Euler equations which arise from agent-based dynamics driven by velocity \emph{alignment}. It is known that smooth solutions of such systems must flock, namely -- the large time behavior of the velocity field approaches a limiting
He, Siming, Tadmor, Eitan
core   +3 more sources

Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects

open access: yesEast Asian Journal on Applied Mathematics, 2019
A predator-prey system with Holling type II functional response and a time lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied.
Weihua Jiang
semanticscholar   +1 more source

A semilinear transport equation with delays

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2011-2026, 2003., 2003
An analysis is provided for a model of the blood production system based on a cell population structured by a continuous variable corresponding to the maturity of individual cells. Cell maturity is viewed as an indicator of increasing morphological development, ranging from the most primitive stem cells to the most mature differentiated cells.
Janet Dyson   +2 more
wiley   +1 more source

Mathematical Analysis of the Monkeypox Epidemic With Infective Immigrants Using Real Data From Nigeria

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka   +2 more
doaj   +1 more source

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

Dynamics of two-species delayed competitive stage-structured model described by differential-difference equations

open access: yesOpen Mathematics, 2019
Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang   +4 more
doaj   +1 more source

An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect

open access: yesComputational and Mathematical Biophysics, 2021
Additional food provided prey-predator systems have become a significant and important area of study for both theoretical and experimental ecologists. This is mainly because provision of additional food to the predator in the prey-predator systems has ...
Ananth V. S., Vamsi D. K. K.
doaj   +1 more source

Existence of Bistable Waves in a Competitive Recursion System with Ricker Nonlinearity [PDF]

open access: yes, 2013
Using an abstract scheme of monotone semiflows, the existence of bistable traveling wave solutions of a competitive recursion system with Ricker nonlinearity is established. The traveling wave solutions formulate the strong inter-specific actions between
Liu, Jie, Pan, Shuxia
core  

Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation

open access: yesComplexity, Volume 2025, Issue 1, 2025.
The present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented. Equilibria, positivity, boundedness, extinction, and disease persistence were studied rigorously.
Ali Raza   +6 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

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