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20122026
most citedAdditional food causes predator "explosion" -- unless the predators compete

10 citations · 22 across the 23 of their papers we have counts for

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Showing 2023 · math.DSShow all

6 papers · 2 filters

math.DS2023★ 1 cited

Novel Dynamics in an Additional Food provided Predator-Prey System with mutual interference

Sureni Wickramasooriya, Jonathan Martin, Aniket Banerjee +1

The provision of additional food (AF) sources to an introduced predator has been identified as a mechanism to improve pest control. However, AF models with prey dependent functiona…

math.DS2023

A modified chemostat exhibiting competitive exclusion "reversal"

Thomas Griffin, James Lathrop, Rana Parshad

The classical chemostat is an intensely investigated model in ecology and bio/chemical engineering, where n-species, say compete for a single growth limiting…

math.DS2023★ 2 cited

Stability and bifurcation analysis of a two-patch model with Allee effect and dispersal

Yue Xia, Lijuan Chen, Vaibhava Srivastava +1

In the current manuscript, a first two-patch model with Allee effect and nonlinear dispersal is presented. We study both the ODE case and the PDE case here. In the ODE model, the s…

math.DS2023

Dynamical Analysis of an Allelopathic Phytoplankton Model with Fear Effect

Shangming Chen, Fengde Chen, Vaibhava Srivastava +1

This paper is the first to propose an allelopathic phytoplankton competition ODE model influenced by a fear effect based on natural biological phenomena. It is shown that the inter…

math.DS2023

Exploring unique dynamics in a predator-prey model with generalist predator and group defence in prey

Vaibhava Srivastava, Kwadwo Antwi-Fordjour, Rana D. Parshad

In the current manuscript, we consider a predator-prey model where the predator is modeled as a generalist using a modified Leslie-Gower scheme, and the prey exhibits group defence…

math.DS2023

The effect of "very fast" strategies on two species competition

Aniket Banerjee, Vaibhava Srivastava, Rana D. Parshad

We consider the effect of finite time extinction mechanisms (FTEM) such as (1) semi-linear harvesting terms, and (2) quasi-linear fast diffusion terms on two species Lokta-Volterra…