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SEMINAR: Small amplitude limit cycles bifurcating from a zero--Hopf equilibrium point in a familly of tritrotrophic food chain systems

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April 20, 2023

📅 April 20th, 2023

🕒 15:00

📍 CRM Auditorium 


In this talk, we analyze the dynamics of a  tritrophic food chain model considering logistic grow rate for the lowest trophic level,  Holling functional responses type III  for the middle and  Holling type IV functional responses for the highest level. Using the averaging theory we show the existence of one zero-Hopf equilibrium point, from which bifurcate three small limit cycles.


Victor Castellanos Vargas

Victor Castellanos Vargas

Universidad Juárez Autónoma de Tabasco

Degree in Mathematics from the Universidad Juárez Autónoma de Tabasco; Master of Science and PhD in Mathematics from the Center for Research in Mathematics of Guanajuato, Gto., from 2002 to 2003 he did a postdoctoral fellowship at UNAM. Since June 2000, he joined the UJAT as a Research Professor where he teaches on various Mathematics topics at the Undergraduate and Postgraduate level. He is currently a Full-Time Base Research Professor C, he is a member of the National System of Level II Researchers. 

He has published various research articles in national and international journals indexed with strict arbitration, as well as Dissemination articles, he has edited a book and has developed a library for the software “Singular: A computer algebra system”. He has directed 9 Master’s theses, 10 Bachelor’s theses and 2 doctoral theses in progress. He has also given more than 100 research conferences in countries such as Mexico, Germany, China, Canada, the United States, Italy, France, Brazil, Spain, Colombia, Costa Rica, among others, and has carried out 20 research stays in institutions in the country and from abroad.