Results 71 to 80 of about 1,832 (165)

Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]

, 2013
A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
core  

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

Discrete 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, Hasan Gündüz, Mesut Karabacak, Ercan Çelik, Rigoberto Medina   +4 more
wiley   +1 more source

Does a population with the highest turnover coefficient win competition?

, 2017
We consider a discrete time competition model. Populations compete for common limited resources but they have different fertilities and mortalities rates. We compare dynamical properties of this model with its continuous counterpart.
Rudnicki, Ryszard
core   +1 more source

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

International 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, Sayeda Irin Akter, Kamrun Nahar Keya, Md. Haider Ali Biswas, Md. Rafiul Islam, K. M. Ariful Kabir, Sining Zheng   +6 more
wiley   +1 more source

Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation

Open Mathematics, 2022
In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
doaj   +1 more source

Dynamics of spatial logistic model: finite systems

, 2014
The spatial logistic model is a system of point entities (particles) in $\mathbb{R}^d$ which reproduce themselves at distant points (dispersal) and die, also due to competition.
Kozitsky, Yuri
core   +1 more source

Coastal fisheries adaptations to increasing climate change exposure in Japan

People 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, Naoki H. Kumagai, Jorge García Molinos, Elena Ojea   +3 more
wiley   +1 more source

Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate

Results in Physics, 2021
In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability.
Amir Khan, Rahat Zarin, Ghulam Hussain, Auwalu Hamisu Usman, Usa Wannasingha Humphries, J.F. Gomez-Aguilar   +5 more
doaj   +1 more source

Solvability of boundary value problems for fractional order elastic beam equations

Advances in Differential Equations, 2014
In this article, the existence results for solutions of a boundary value problem for nonlinear singular fractional order elastic beam equations are established. The analysis relies on the well-known Schauder’s fixed point theorem. MSC:92D25, 34A37, 34K15.
Shengping Chen, Yuji Liu
semanticscholar   +1 more source

An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains

Computational and Mathematical Biophysics
In this work, we propose a hybrid impulsive prey-predator-mutualist model on nonuniform time domains. We have investigated the permanence/persistence results for the proposed model using the comparison theorems of impulsive differential equations and ...
Kumar Anil, Malik Muslim
doaj   +1 more source