A prey-dependent consumption two-prey one predator eco-epidemic model concerning biological and chemical controls at different pulses

Mathur, Kunwer Singh

doi:10.1016/j.jfranklin.2016.07.012

Cited by 5 publications

(2 citation statements)

References 29 publications

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“…Similarly, from (A.14) and (A.15), we obtain W 11 (θ ) = − ig 11 ω * τ * q(0)e iω * τ * θ + iḡ 11 ω * τ * q (0)e −iω * τ * θ + E 2 , (A. 17) where…”

Section: By the Change Of Variablesmentioning

confidence: 82%

“…This types of interaction in the literature are commonly known as prey-predator interaction. The first prey-predator model was introduced by Lotka and Volterra [13,14]; after that many prey-predator models have been formulated by ecologists and mathematicians to understand the dynamics of interacting populations [15][16][17][18]. Dynamics of prey-predator models are generally delineated by a functional response, which is the number of prey successfully attacked by a per predator as a function of prey density [19].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of a stage-structured SI model for food adulteration with media-induced response function

2021

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In this work, an eco-epidemic predator–prey model with media-induced response function for the interaction of humans with adulterated food is developed and studied. The human population is divided into two main compartments, namely, susceptible and infected. This system has three equilibria; trivial, disease-free and endemic. The trivial equilibrium is forever an unstable saddle position, while the disease-free state is locally asymptotically stable under a threshold of delay parameter as well as . The sufficient conditions for the local stability of the endemic equilibrium point are further explored when . The conditions for the occurrence of the stability switching are also determined by taking infection delay time as a critical parameter, which concludes that the delay can produce instability and small amplitude oscillations of population masses via Hopf bifurcations. Further, we study the stability and direction of the Hopf bifurcations using the center manifold argument. Furthermore, some numerical simulations are conducted to validate our analytical findings and discuss their biological inferences. Finally, the normalized forward sensitivity index is used to perform the sensitivity analysis of and .

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“…Similarly, from (A.14) and (A.15), we obtain W 11 (θ ) = − ig 11 ω * τ * q(0)e iω * τ * θ + iḡ 11 ω * τ * q (0)e −iω * τ * θ + E 2 , (A. 17) where…”

Section: By the Change Of Variablesmentioning

confidence: 82%