Pattern dynamics of a diffusive toxin producing phytoplankton–zooplankton model with three-dimensional patch

D Jia, T Zhang, S Yuan - International Journal of Bifurcation and …, 2019 - World Scientific
In this paper, the Turing pattern formation in a diffusive toxin producing phytoplankton–
zooplankton model with three-dimensional patch is investigated. Firstly, the conditions for …

Modeling herd behavior in population systems

V Ajraldi, M Pittavino, E Venturino - Nonlinear Analysis: Real World …, 2011 - Elsevier
In this paper, we show that under suitable simple assumptions the classical two populations
system may exhibit unexpected behaviors. Considering a more elaborated social model, in …

Predator–prey dynamics with square root functional responses

PA Braza - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
A predator–prey model is considered in which a modified Lotka–Volterra interaction term is
used as the functional response of the predator to the prey. The interaction term is …

The impact of environmental fluctuations on a plankton model with toxin-producing phytoplankton and patchy agglomeration

S Zhao, S Yuan, T Zhang - Chaos, Solitons & Fractals, 2022 - Elsevier
In aquatic ecosystem, plankton populations are easily affected by environmental fluctuations
due to the unpredictability of many physical factors such as nutrient availability, acidity, water …

Analysis of a predator–prey model with herd behavior and disease in prey incorporating prey refuge

S Saha, GP Samanta - International Journal of Biomathematics, 2019 - World Scientific
In this work, we have introduced an eco-epidemiological model of an infected predator–prey
system. Incorporation of prey refuge gives that a fraction of the infected prey is available to …

[HTML][HTML] Global dynamics of a predator–prey model with defense mechanism for prey

C Xu, S Yuan, T Zhang - Applied mathematics letters, 2016 - Elsevier
Abstract Recently, Venturino and Petrovskii proposed a general predator–prey model with
group defense for prey species (Venturino and Petrovskii, 2013). The local dynamics had …

The effect of the defensive strategy taken by the prey on predator–prey interaction

F Souna, A Lakmeche, S Djilali - Journal of Applied Mathematics and …, 2020 - Springer
In this paper, we scrutinize a delayed predator-model for the purpose of studying the impact
of the strategy considered by the prey population on the evolution of the studied species …

An investigation of delay induced stability transition in nutrient-plankton systems

NK Thakur, A Ojha, PK Tiwari, RK Upadhyay - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a nutrient-plankton interaction model is proposed to explore the characteristic
of plankton system in the presence of toxic phytoplankton and discrete time delay. Anti …

Ecoepidemic predator–prey model with feeding satiation, prey herd behavior and abandoned infected prey

BW Kooi, E Venturino - Mathematical Biosciences, 2016 - Elsevier
In this paper we analyse a predator–prey model where the prey population shows group
defense and the prey individuals are affected by a transmissible disease. The resulting …

Dynamics of a toxic producing phytoplankton–zooplankton model with three–dimensional patch

J Yang, S Yuan - Applied Mathematics Letters, 2021 - Elsevier
In this paper, we perform a further dynamic analysis for a toxin–producing phytoplankton–
zooplankton model proposed by Chattopadhyay et al.(2008), including the number of the …