Existence of travelling wave solutions for a Fisher-Kolmogorov system with biomedical applications
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- 作者：Juan Belmonte-Beitia ; juan.belmonte@uclm.es" class="auth_mail" title="E-mail the corresponding author
- 关键词：Fisher system ; Singular perturbation ; Fredholm&rsquo ; s alternative ; Fenichel&rsquo ; s theorem
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：July 2016
- 年：2016
- 卷：36
- 期：Complete
- 页码：14-20
- 全文大小：368 K
文摘
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We calculate exact solutions of our simplified model.
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We prove the existence of heteroclinic connections in our general model.
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We prove the existence of traveling fronts for our biological general model, using singular perturbation techniques.