Mathematical analysis of a food-web model

El-Owaidy, H. M.; Ragab, A. A.; Ismail, M. N.

doi:10.1016/s0096-3003(99)00269-6

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2022

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Cited by 7 publications

(3 citation statements)

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“…El-Owaidy and Ammar [6] investigated a three-level food web. The food web consists of a prey at the lowest level, a specialist predator at the second level and another generalist predator at the highest level.…”

Section: Introductionmentioning

confidence: 99%

“…El-Owaidy et al [7] investigated a four-level generalized food chain model. However, this model also suffers from the same problem as in [6].…”

Section: Introductionmentioning

confidence: 99%

“…However, this model also suffers from the same problem as in [6]. The authors analysed the existence of a bounded solution and investigated the stability of various equilibrium points.…”

Section: Introductionmentioning

confidence: 99%

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Complex behaviour in four species food-web model

Gakkhar¹,

Priyadarshi²,

Banerjee³

2012

Journal of Biological Dynamics

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A four-dimensional food-web system consisting of a bottom prey, two middle predators and a generalist predator has been developed with modified functional response. The system is well posed and dissipative. Some results on uniform persistence have been developed. The dynamics of the system is found to be chaotic for certain choice of parameters. The coexistence of all four species is possible in the form of periodic orbits/strange attractors for suitably chosen set of parameters.

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Section: Introductionmentioning

confidence: 99%

“…El-Owaidy et al [7] investigated a four-level generalized food chain model. However, this model also suffers from the same problem as in [6].…”

Section: Introductionmentioning

confidence: 99%