- #APPLICATION LINEAR DIFFERENTIAL EQUATION SYSTEMS POPULATION SERIES#
- #APPLICATION LINEAR DIFFERENTIAL EQUATION SYSTEMS POPULATION FREE#
The aim of this paper is to provide a new model that will be able to describe the population growth more accurately.īiological population demonstrating is worried with the changes in populace size and age spreading within a population as a significance of collaborations of creatures with the physical setting, with individuals of their own species, and with bacteria of other kinds. Indeed exhibiting of dynamic interactions in nature can provide a manageable way of understanding how numbers alter in excess of time or relation to each other. Generally speaking mathematical models allows a better thoughtful of how the complex interfaces and processes work. It is therefore important that in both cased the mathematical formulas should be able to portray more accurately the dynamic of the specie in time. In case of infectious diseases, the aim is to end the spread of the virus that can considered as a specie, in this case also the control can be done via mathematical predictions. A global protection of whale in all oceans and Africans elephants that are nowadays consider as rare species. In China, we have the protection of the tigers. We can find many examples of this in developed countries, for instance in South Africa, the government gave strict law against the killing of rhinos. However if the model is accurate enough they can give reliable predictions, if the predictions show the extinction of a given species, then laws-makers can take some decisions to protect the specie. For instance to control the spread of a given infectious diseases researchers are interested in their reproductive number, that help to know whether or not the disease will be extinct. This study has fascinated many researchers around the world in recent passed years. Index.Researchers within the field of biology and mathematical biology are interested to know whether or not the certain specie will be instinct or not. Numerical Methods for Solving Partial Differential Equations.
Two-Dimensional Problems in a Circular Region. Problems in Two Dimensions: Laplace's Equation. Introduction to Partial Differential Equations and Separation of Variables.
#APPLICATION LINEAR DIFFERENTIAL EQUATION SYSTEMS POPULATION FREE#
Free Vibration of a Three-Story Building. Boundary-Value Problems, Eigenvalue Problems, Sturm-Liouville Problems. Laplace Transform Methods for Solving Systems. Laplace Transforms of Several Important Functions. Solving Initial-Value Problems with the Laplace Transform. The Laplace Transform: Preliminary Definitions and Notation. Diffusion and Population Problems with First-Order Linear Systems. Mechanical and Electrical Problems with First-Order Linear Systems.
Modeling a Fox Population in Which Rabies is Present. First-Order Linear Nonhomogeneous Systems: Undetermined Coefficients and Variation of Parameters. First-Order Linear Homogeneous Systems with Constant Coefficients.
#APPLICATION LINEAR DIFFERENTIAL EQUATION SYSTEMS POPULATION SERIES#
Series Solutions of Ordinary Differential Equations. Nonhomogeneous Equations with Constant Coefficients: Variation of Parameters. Introduction to Solving Nonhomogeneous Equations with Constant Coefficients: Method of Undetermined Coefficients. Solutions to Higher Order Linear Homogeneous Equations with Constant Coefficients. Solutions of Second-Order Linear Homogeneous Equations with Constant Coefficients. Chapter 3 Differential Equations at Work. Newton's Law of Cooling and Related Problems. Numerical Methods for First-Order Equations. Substitution Methods and Special Equations.
A Graphical Approach to Solutions: Slope Fields and Direction Fields.
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