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| Content Provider | Springer Nature Link |
|---|---|
| Author | Sunaga, Yasuhiro Chikayama, Eisuke Yokota, Hideo da, Shigeho |
| Copyright Year | 2013 |
| Abstract | The Lotka–Volterra equation, proposed first with two variables by A. J. Lotka, underpins the well-known classic model for chemical oscillations. The general solutions of the Lotka–Volterra equation, with $$n$$ variables, however, remain unknown. We describe a solvable nonlinear model and general solution, previously unstudied for chemical oscillations, that is analogous to the Lotka–Volterra equations with $$n$$ variables. This model approximates the Lotka–Volterra equations in the neighbourhood of an equilibrium point and is solvable because it can be shown to be linearized to a set of first-order linear differential equations. The purpose of this report is a description of the general solution of the model. |
| Ending Page | 406 |
| Page Count | 8 |
| Starting Page | 399 |
| File Format | |
| ISSN | 02599791 |
| e-ISSN | 15728897 |
| Journal | Journal of Mathematical Chemistry |
| Issue Number | 2 |
| Volume Number | 52 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2013-10-23 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Theoretical and Computational Chemistry Lotka–Volterra equation Classical flows, reactions, etc. Nonlinear differential equation Physical Chemistry Solvable model Chemical oscillation Chemical kinetics Math. Applications in Chemistry |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Chemistry |
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