Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
7
0

Year Published

2014
2014
2015
2015

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

##### Cited by 17 publications
(7 citation statements)
##### References 22 publications
0
7
0
Order By: Relevance
“…Fig. 7(B) shows the Lyapunov exponent of Y with respect to the delay parameter j in a smaller range [12,4] for fixed s ¼ 4 . Positive Lyapunov exponent ðk) indicates that the system exhibits chaotic behavior [25,26].…”
Section: Chaotic Dynamicsmentioning
confidence: 98%
See 1 more Smart Citation
“…Fig. 7(B) shows the Lyapunov exponent of Y with respect to the delay parameter j in a smaller range [12,4] for fixed s ¼ 4 . Positive Lyapunov exponent ðk) indicates that the system exhibits chaotic behavior [25,26].…”
Section: Chaotic Dynamicsmentioning
confidence: 98%
“…Gopalsamy [3] and Kuang [1] studied the stability and oscillations in delay differential equations and its application to population dynamics. Ma et al [4] studied the stability and Hopf-bifurcation for a delayed three species Lotka-Volterra food chain model with time delay and spatial diffusion.…”
Section: Introductionmentioning
confidence: 99%
“…Solution of (3), denoted by ( ) = ( 1 ( ), 2 ( ), 1 ( ), 2 ( )) , is piecewise and continuous function: : + → 4 + , ( ) is continuous on ( , ( + 1) ], ∈ + , and ( + ) = lim → + ( ) exists. Obviously, the global existence and uniqueness of solution of (3) are guaranteed by the smoothness of = ( 1 , 2 , 3 , 4 ), where denotes the mapping defined by right side of system (2). For more details refer to [20,21].…”
Section: Preliminariesmentioning
confidence: 99%
“…If examining the cases that there are two preys for a predator, then the above system cannot reflect the real behaviors of individuals accurately, so scholars proposed three-species predator-prey system. The relationship between species in three-species system may take many forms, such as one prey and two predators [1], a food chain [2,3], or two preys and one predator [4,5]. On the other hand, for predator-prey model, in description of the relationship between predator and prey, a crucial element is the classic definition of a predator's functional response.…”
Section: Introduction and Model Formulationmentioning
confidence: 99%
See 1 more Smart Citation