2002
DOI: 10.1016/s0960-0779(02)00079-6
|View full text |Cite
|
Sign up to set email alerts
|

Study of a Leslie–Gower-type tritrophic population model

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

1
132
0
1

Year Published

2010
2010
2024
2024

Publication Types

Select...
8

Relationship

0
8

Authors

Journals

citations
Cited by 193 publications
(138 citation statements)
references
References 28 publications
1
132
0
1
Order By: Relevance
“…Maximum value that the per-capita rate can attain D 0 , D 1 Measure the level of protection provided by the environment to the prey b 2 Measure of the competition among prey, u D 2 Value of v at which its per capita removal rate becomes w 2 /2 D 3 Loss in r due to the lack of its favorite food, v c Growth rate of r via sexual reproduction d 4 The strength of the overcrowding term Table 1: List of parameters used in the three species food chain model. All these parameters are positive constants.…”
Section: Symbols Meaningmentioning
confidence: 99%
See 2 more Smart Citations
“…Maximum value that the per-capita rate can attain D 0 , D 1 Measure the level of protection provided by the environment to the prey b 2 Measure of the competition among prey, u D 2 Value of v at which its per capita removal rate becomes w 2 /2 D 3 Loss in r due to the lack of its favorite food, v c Growth rate of r via sexual reproduction d 4 The strength of the overcrowding term Table 1: List of parameters used in the three species food chain model. All these parameters are positive constants.…”
Section: Symbols Meaningmentioning
confidence: 99%
“…We define x to be the spatial coordinate vector in two dimensions. The parameters d 1 are assumed to be nonnegative and uniformly bounded on Ω. Appropriate boundary conditions are specified.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Ayala [10] proved experimentally that two species of Drosophila could coexist upon a single limit resource. Ayala's experiment leads to a large body of work, which continuous to this day, see [1,2,6,8,[15][16][17][19][20][21][22][23][24][25]. Upadhyay [20] studied Rosenzweig-McArthur [18] model to investigate the existence of complex dynamical behavior in a food chain model involving Holling type IV functional response of the form wx d+x+x 2 /i and the effects of the intraspecific competition in the first level of the model is also studied.…”
Section: Introductionmentioning
confidence: 99%
“…Lafferty and Morris [25] quantified that the predation rates on infected prey may be 31 times higher compared to that on susceptible prey. Thus, we consider the case when the predator mainly eats the infected prey with Leslie-Gower ratiodependent schemes (Song and Li, [32]; Nindjin et al, [30]; Aziz-Alaoui and Daher Okiye, [2]; Hsu and Hwang, [19]; Aziz-Alaoui, [1]; Greenhalgh D. and Haque M., [11]). That is to say, the predator consumes the prey according to the ratio-dependent functional response and the predator grows logistically with intrinsic growth rate δ and carrying capacity proportional to the prey populations size I(t).…”
Section: Introductionmentioning
confidence: 99%