Existence of at Least Two Periodic Solutions for a Competition System of Plankton Allelopathy on Time Scales

[摘要] We study a competition system of the growth of two species ofplankton with competitive and allelopathic effects on each other on time scales. With the help of Mawhin’s continuation theorem of coincidence degree theory, a setof easily verifiable criteria is obtained for the existence of at least two periodicsolutions for this model. Some new existence results are obtained. An example andnumerical simulation are given to illustrate the validity of our results.

[学科分类] 应用数学