Existence of Positive Periodic Solutions of Two Species Discrete LotkaVolterra System with Diffusion

International Journal of Mathematics Trends and Technology (IJMTT)  
© 2019 by IJMTT Journal  
Volume65 Issue11  
Year of Publication : 2019  
Authors : R. Eswari 

10.14445/22315373/IJMTTV65I11P516 
MLA Style:R. Eswari "Existence of Positive Periodic Solutions of Two Species Discrete LotkaVolterra System with Diffusion" International Journal of Mathematics Trends and Technology 65.11 (2019):157167.
APA Style: R. Eswari (2019). Existence of Positive Periodic Solutions of Two Species Discrete LotkaVolterra System with Diffusion ” International Journal of Mathematics Trends and Technology,157167.
Abstract
We deal with two species discrete LotkaVolterra system with diffusion. By applying the continuation theorem of coincidence degree theory, we establish a set of suffcient conditions on the existence of at least one positive periodic solution with period p. Some examples are provided to illustrate the results.
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Keywords
Discrete LotkaVolterra system, diffusion, continuation theorem, periodic solution