Results 51 to 60 of about 6,531,183 (350)

Solving Ordinary Differential Equations

Programming for Computations - Python, 2019
Differential equations constitute one of the most powerful mathematical tools to understand and predict the behavior of dynamical systems in nature, engineering, and society.
S. Linge, H. Langtangen
semanticscholar   +1 more source

Tropical differential equations [PDF]

Advances in Applied Mathematics, 2017
Tropical differential equations are introduced and an algorithm is designed which tests solvability of a system of tropical linear differential equations within the complexity polynomial in the size of the system and in its coefficients. Moreover, we show that there exists a minimal solution, and the algorithm constructs it (in case of solvability ...
openaire   +4 more sources

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

Ulam Stability of n-th Order Delay Integro-Differential Equations

Mathematics, 2021
In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
doaj   +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

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

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  

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

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