Results 41 to 50 of about 1,797,841 (315)

Front motion for phase transitions in systems with memory

, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici, Alexander I. Domoshnitsky, Alexander Nepomnyashchy, Binder, Caginalp, Caginalp, Caginalp, Caginalp, Cahn, Fife, Horacio G. Rotstein, Jäckle, Jäckle, Jäckle, Jäckle, Neu, Rotstein, Rubinstein   +17 more
core   +1 more source

Network topology drives population temporal variability in experimental habitat networks

Population Ecology, EarlyView.
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu, J. Angus Webb, William D. Bovill, Elise L. King   +3 more
wiley   +1 more source

Integral representation of solutions to Fuchsian system and Heun's equation

, 2007
We obtain integral representations of solutions to special cases of the Fuchsian system of differential equations and Heun's differential equation. In particular, we calculate the monodromy of solutions to the Fuchsian equation that corresponds to Picard'
Belokolos, Boalch, Borcea, Dettweiler, Dettweiler, Filipuk, Gesztesy, Kouichi Takemura, Manin, Okamoto, Smirnov, Takasaki, Takemura, Takemura, Takemura, Takemura, Takemura, Takemura, Takemura, Treibich   +19 more
core   +1 more source

occumb: An R package for site occupancy modeling of eDNA metabarcoding data

Population Ecology, EarlyView.
This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
wiley   +1 more source

Teaching Partial Differential Equations with CAS [PDF]

, 2018
Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals at least, with the following ...
Aguilera-Venegas, Gabriel, Galán-García, José Luis, Galán-García, María Ángeles, Padilla-Domínguez, Yolanda, Rodriguez-Cielos, Pedro, Rodríguez-Cielos, Ricardo   +5 more
core  

Between Droughts and Floods: The Seasonal Response of Freshwater Snails in Artificial Reservoirs in the Brazilian Semiarid Region

Population Ecology, EarlyView.
We investigate the seasonal dynamics of two freshwater snails, Biomphalaria straminea and Melanoides tuberculata, in artificial reservoirs of the Brazilian semiarid region. Despite regulated hydrology, B. straminea exhibited strong seasonal fluctuations associated with dry periods, while M. tuberculata maintained stable populations throughout the year,
Lucas Henrique Sousa da Silva, João Hemerson de Sousa, Adriana Josefa da Rocha, Manuella Feitosa Leal, Lucas Ariel de Sousa Aguiar, Tamaris Gimenez Pinheiro, Edson Lourenço da Silva   +6 more
wiley   +1 more source

On the fractional Allee logistic equation in the Caputo sense

Examples and Counterexamples, 2023
In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
doaj   +1 more source

Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders

Population Ecology, EarlyView.
We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa, Andrea Costa, Sebastiano Salvidio   +2 more
wiley   +1 more source

In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis

Journal of Pain Research, 2015
Oscar A Linares,1 William E Schiesser,2 Jeffrey Fudin,3–6 Thien C Pham,6 Jeffrey J Bettinger,6 Roy O Mathew,6 Annemarie L Daly7 1Translational Genomic Medicine Lab, Plymouth Pharmacokinetic Modeling Study Group, Plymouth, MI, 2Department of ...
Linares OA, Schiesser WE, Fudin J, Pham TC, Bettinger JJ, Mathew RO, Daly AL   +6 more
doaj  

Ordinary Differential Equations [PDF]

, 2021
AbstractIn this chapter, we discuss a first application of the time derivative operator constructed in the previous chapter. More precisely, we analyse well-posedness of ordinary differential equations and will at the same time provide a Hilbert space proof of the classical Picard–Lindelöf theorem (There are different notions for this theorem.
Christian Seifert, Sascha Trostorff, Marcus Waurick   +2 more
openaire   +1 more source