A rapid and simple method for the detection and enumeration of<i>Escherichia coli</i>in cleansed shellfish

Humphrey, T. J.; Gawler, Andrew

doi:10.1017/s0022172400065360

Cited by 2 publications

(1 citation statement)

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“…This behaviour is a kind of survival technique against predator which is developed in prey population to avoid predation. Many behavioural ecologists have studied different kinds of anti-predator behaviours in different prey species (Dicke and Sabelis, 1988;Sih et al, 2004;Humphrey and Gawler, 1986;Gilbert, 1999). In the presence of predator, prey species show defensive behaviours acquired as experience in previous attack, termed as inducible defense.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of an eco-epidemiological model with prey refuge

Khan,

Sen,

Samanta

2024

Preprint

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In this paper, we propose and analyse a predator-prey model with disease in prey. We assume that a portion of healthy prey takes refuge to avoid predation. We find the biologically feasible equilibrium points and their stability criteria by using linearization technique. We also perform Hopf bifurcation analysis around the coexisting equilibrium point. We carry out extensive numerical simulation to validate our theoretical results and also explore rich dynamics which cannot be attained analytically. We draw some one and two parameter bifurcation diagrams which demonstrate rich dynamics like, Hopf bifurcation, chaos, bistability, etc. We observe that invasion of disease in prey can produce chaos through period-doubling bifurcation, whereas refuge can control chaos via period-halving bifurcation. We also observe that refuge can control disease prevalence in the prey population.

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Section: Introductionmentioning

confidence: 99%