Results 51 to 60 of about 14,005 (202)

Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation

Natural Resource Modeling, Volume 39, Issue 2, May 2026.
ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo   +2 more
wiley   +1 more source

A general framework for invasion cycles in ecology

Ecology, Volume 107, Issue 4, April 2026.
Abstract Theory predicts that indirect interactions in ecological networks sustain species diversity through oscillatory dynamics. However, a framework linking interaction structure to the presence, type, and complexity of these cycles is lacking. Here, we develop an analytical toolbox combining invasion graphs with a mathematical decomposition of ...
Violeta Calleja‐Solanas, Rafael O. Moura, José A. Langa, José R. Portillo, Fernando Soler‐Toscano, Oscar Godoy   +5 more
wiley   +1 more source

An approximate solution of two dimensional nonlinear Volterra integral equation using Newton-Kantorovich method [PDF]

, 2016
This paper studies the method for establishing an approximate solution of nonlinear two dimensional Volterra integral equations (NLTD-VIE). The Newton-Kantorovich (NK) suppositions are employed to modify NLTD-VIE to the sequence of linear two dimensional
Eshkuvatov, Zainidin K., Hameed, Hameed Husam, Nik Long, Nik Mohd Asri   +2 more
core  

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

Engineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

Blow-up and superexponential growth in superlinear Volterra equations

, 2017
This paper concerns the finite-time blow-up and asymptotic behaviour of solutions to nonlinear Volterra integrodifferential equations. Our main contribution is to determine sharp estimates on the growth rates of both explosive and nonexplosive solutions ...
Appleby, John A. D., Patterson, Denis D.
core   +1 more source

Coexistence of Photosynthetic Marine Microorganisms, Viruses and Grazers: Towards Integration in Ocean Ecosystem Models

Environmental Microbiology, Volume 28, Issue 4, April 2026.
Our study explores coexistence regimes of a virus and a zooplankton with a single phytoplankton for different model structures (left panel). The inclusion of an infected class and a resistant class is sufficient to generate coexistence regimes (middle panel). Using algebraic solutions, we optimise our model emphasising the importance of including viral
Paul Frémont, Stephen J. Beckett, David Demory, Eric Carr, Christopher L. Follett, Debbie Lindell, David Talmy, Stephanie Dutkiewicz, Joshua S. Weitz   +8 more
wiley   +1 more source

Nonlinear Two-Phase Stefan Problem [PDF]

Journal of Sciences, Islamic Republic of Iran, 2007
In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
K. Ivaz
doaj  

Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function

مجلة بغداد للعلوم, 2021
In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced.
Hameed Husam Hameed, Hayder M Al-Saedi
doaj   +1 more source

Community Assembly Reveals How Environmental Controls Over Rodent Competition Drive Deer Mouse Density and Hantavirus Infection

Ecology Letters, Volume 29, Issue 4, April 2026.
We examined how community assembly processes shape Sin Nombre hantavirus (SNV) dynamics in rodent communities across the southwestern United States. Environmental factors structured community composition, which regulated deer mouse abundance and SNV infection, rather than diversity alone.
Angela D. Luis, Dean E. Pearson
wiley   +1 more source