Sensitivity analysis and stationary probability distributions of a stochastic two-prey one-predator model

Wang, Shenlong; Wang, Zhicheng; Xu, Chenyun; Jiao, Guyue

doi:10.1016/j.aml.2020.106996

Cited by 5 publications

(1 citation statement)

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“…For example, they study the model among vertebrates and invertebrates in freshwater systems associated with fisheries [ 10 ] and with prey refuge and delay [ 11 ]. The modified models have been utilized for studying the impulsive effects [ 12 ], the impact of prey herd dread from the two types of predators [ 13 ], effect of food sharing among predators [ 14 ], the effect of two different food chains [ 15 ], studying the stationary probability distributions of its population densities [ 16 ], studying with disease in prey [ 17 ] and so on.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and semi-analytical simulation for a two-predator-one-prey model during the mating period

Aljahdaly

2023

PLoS ONE

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The article introduces a new application which is a system of equations of two predators and one prey with the term of interaction between male and female of predators and prey. Such term appears when male and female of predators feed on the same prey during their mating period. The mathematical model has been studied theoretically and semi-analytically. The positivity, boundedness, local and global stability are proved for the system. The logarithm of multistage differential transform method (MsDTM) is used to study this new application. The MsDTM is used because it globally converges to the solution, it is a highly accurate, fast and simple approach. The stability analysis as well as semi-analytical solutions of the system are obtained to understand the dynamic of the model. Moreover, the effects of several parameters in the system are presented. As a results, we obtain the periodic solution when when the growth rate of prey is larger than the growth rate of both type of predators.

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