NDLI: Nonlinear Dynamical Model of Microorganism Growth in Soil

Content Provider	Springer Nature Link
Author	Vasilyeva, N. A. Ingtem, J. G. Silaev, D. A.
Copyright Year	2016
Abstract	We propose a mathematical description of the soil as a complex dynamical system with components of living, organic and physical nature. The model is a system of partial differential equations of parabolic type with nonlinear sources and nonlinear diffusion. Known oxygen and water dependent feedbacks are described as the sum of variables products: microorganism growth; switching from easily degradable to complex feed substrate; biotic/abiotic/autocatalytic transformations between substances. A selfoscillatory regime with self-organization of stable irregular dynamical structures, in particular the porous space (the the habitat), is detected in the model. The model with linear and nonlinear diffusion reflects processes that occur on different scales. The characteristic size of the problem is determined by the magnitude of the diffusion coefficient, which in capillaries is an order of magnitude lower than in free water. The model makes it possible to describe the macroscopic behavior of the soil system as a whole based on the dynamics of microscale spatially nonhomogeneous structures and allows simulation of various natural soil regimes for which experimental data are available.
Starting Page	172
Ending Page	180
Page Count	9
File Format	PDF
ISSN	1046283X
Journal	Computational Mathematics and Modeling
Volume Number	27
Issue Number	2
e-ISSN	1573837X
Language	English
Publisher	Springer US
Publisher Date	2016-02-15
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	nonlinear dynamical systems self-oscillations soils nonlinear feedback complex systems Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Optimization
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Positional robust inversion in nonlinear dynamical systems

Synthesis of controllers for damping oscillations in dynamical systems under uncertainty

Distortion-suppression optimization for a class of nonlinear optical systems with feedback

Decomposition of models of special classes of complex dynamical systems

Duality theorems in the theory of nonlinear oscillations

Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations

Transition to chaos in nonlinear dynamical systems described by ordinary differential equations

Dynamical systems with entropy operator

Mathematical modeling of oscillations in a Lotka reaction on a catalyst surface

Nonlinear Dynamical Model of Microorganism Growth in Soil

Similar Documents

Positional robust inversion in nonlinear dynamical systems

Synthesis of controllers for damping oscillations in dynamical systems under uncertainty

Distortion-suppression optimization for a class of nonlinear optical systems with feedback

Decomposition of models of special classes of complex dynamical systems

Duality theorems in the theory of nonlinear oscillations

Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations

Transition to chaos in nonlinear dynamical systems described by ordinary differential equations

Dynamical systems with entropy operator

Mathematical modeling of oscillations in a Lotka reaction on a catalyst surface

Nonlinear Dynamical Model of Microorganism Growth in Soil