(m+1) B, and a linear decay B -->C, where C is an inert product. The special case of m = 2 is the much studied Gray-Scott model, but without feeding. We prove existence of multiple traveling waves which have distinctive number of local maximaor peaks. It shows a new and very distinctive feature of Gray-Scott type of models in generating rich and structurally different traveling pulses than related models in literature such as isothermal autocatalysis without decay, or a bio-reactor model with isothermal autocatalysis of order m + 1 with m-th order of decay.
| Druh dokumentu: |
article |
| Popis souboru: |
electronic resource |
| Jazyk: |
English |
| ISSN: |
2563-1926 |
| Relation: |
https://ojs.lib.uwo.ca/index.php/mase/article/view/16513; https://doaj.org/toc/2563-1926 |
| DOI: |
10.5206/mase/16513 |
| Přístupová URL adresa: |
https://doaj.org/article/386ba2d130874f6ba2c0183ff3768d50 |
| Přírůstkové číslo: |
edsdoj.386ba2d130874f6ba2c0183ff3768d50 |
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| Autor: |
Xinfu Chen, Xin Lai, Cong Qin, Yuanwei Qi, Yajing Zhang |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Mathematics in Applied Sciences and Engineering, Vol 4, Iss 3, Pp 154-171 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2563-1926 |
| DOI: |
10.5206/mase/16513 |
| Popis: |
We study a reaction-diffusion system which models the pre-mixed isothermal autocatalytic chemical reaction of order m (m > 1) between two chemical species, a reactant A and an auto-catalyst B, A + m B --> (m+1) B, and a linear decay B -->C, where C is an inert product. The special case of m = 2 is the much studied Gray-Scott model, but without feeding. We prove existence of multiple traveling waves which have distinctive number of local maximaor peaks. It shows a new and very distinctive feature of Gray-Scott type of models in generating rich and structurally different traveling pulses than related models in literature such as isothermal autocatalysis without decay, or a bio-reactor model with isothermal autocatalysis of order m + 1 with m-th order of decay. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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