Dynamic relationship between the mutual interference and gestation delays of a hybrid tritrophic food chain model

Agrawal, Rashmi; Jana, Dipak Kumar; Upadhyay, Ranjit Kumar; Rao, V. Sree Hari

doi:10.21914/anziamj.v59i0.10870

Cited by 2 publications

(1 citation statement)

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“…Pal, Samanta, and Rana (2017) considered a constant immigration at trophic level and have found that it can modify the period‐doubling that leads to chaos by reversing the bifurcation. Agrawal, Jana, Upadhyay, and Rao (2018) studied a hybrid model with gestation delays.…”

Section: Introductionmentioning

confidence: 99%

Complex dynamics in a tritrophic food chain model with general functional response

Dawed

Djomegni

Krogstad³

2020

Natural Resource Modeling

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This paper investigates the rich dynamics in a tritrophic food chain mathematical model, consisting of three species: prey, intermediate predators, and top predators. It is assumed that alternative food are supplied to intermediate predators in addition to feeding on prey. We consider a general Holling type response function and analyze the model. The existence and stability of six possible equilibrium points are established. These equilibrium points describe the various dynamics that could take place in the food chain. Hopf bifurcation, limit cycle, doubling periods, chaotic attractors, boundary crisis are observed in the numerical computations. Our results reveal the rich and complex dynamics of the interactions in the food chain. Recommendations for Resource ManagersOur investigation brings the followings to the attention of management:• Coexistence among predators and prey in the same environment is possible provided a good management of some factors (such as contacts between species, additional food supply, growth rate of species, etc).• The dynamics is complex and highly sensitive to the above factors. Strange or unpredictable behaviors could be observed.• The rate at which species are killed by a single predator (i.e., the functional responses) significantly affects the population sizes of all the species and the overall dynamics in the food chain. K E Y W O R D Scoexistence, food chain model, holling type functions, limit cycle, tritrophic

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Section: Introductionmentioning

confidence: 99%

Complex dynamics in a tritrophic food chain model with general functional response

Dawed

Djomegni

Krogstad³

2020

Natural Resource Modeling

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Women Wellbeing Assessment in Indian Metropolises Using Machine Learning models

Yadav

Sheshikala²,

Swathi

et al. 2020

IOP Conf. Ser.: Mater. Sci. Eng.

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In recent times, women working in many metropolises have experienced harassment and nuisance in civic places. In this regard, the research centers taking place the responsibility of social media in endorsing care of these sensitive cases in indian metropolises with exceptional reference to Twitter, Facebook and Instagram platforms. This paper makes special efforts to understand how the sense of responsibility in indian society can advance the safety of these women around us.

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Dynamic relationship between the mutual interference and gestation delays of a hybrid tritrophic food chain model

Cited by 2 publications

References 32 publications

Complex dynamics in a tritrophic food chain model with general functional response

Complex dynamics in a tritrophic food chain model with general functional response

Women Wellbeing Assessment in Indian Metropolises Using Machine Learning models

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