TY - JOUR
T1 - Periodic Solutions in Kolmogorov-Type Predator–Prey Systems
AU - Fečkan, Michal
AU - Pačuta, Július
AU - Susanto, Hadi
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024
Y1 - 2024
N2 - We consider a class of prey-predator models, i.e., a Kolmogorov-type system. We are interested in their dynamics when a certain parameter (that can be viewed as the death rate of the predator) changes from zero value to positive. By utilizing alternative but simple techniques, including a sub- and super-solutions method, we establish the existence of periodic solutions when some conditions are satisfied. We also prove that the solutions are bounded by a non-periodic trajectory when the parameter vanishes. We give an example to illustrate our results.
AB - We consider a class of prey-predator models, i.e., a Kolmogorov-type system. We are interested in their dynamics when a certain parameter (that can be viewed as the death rate of the predator) changes from zero value to positive. By utilizing alternative but simple techniques, including a sub- and super-solutions method, we establish the existence of periodic solutions when some conditions are satisfied. We also prove that the solutions are bounded by a non-periodic trajectory when the parameter vanishes. We give an example to illustrate our results.
KW - 34C25
KW - 37N25
KW - 65L10
KW - Existence of periodic solutions
KW - Kolmogorov-type systems
KW - Sub- and super-solutions method
UR - http://www.scopus.com/inward/record.url?scp=85188358853&partnerID=8YFLogxK
U2 - 10.1007/s12591-024-00686-x
DO - 10.1007/s12591-024-00686-x
M3 - Article
AN - SCOPUS:85188358853
SN - 0971-3514
JO - Differential Equations and Dynamical Systems
JF - Differential Equations and Dynamical Systems
ER -
