Assessment of rabbit hemorrhagic disease in controlling the population of red fox: A measure to preserve endangered species in Australia

Roy, Parimita; Upadhyay, Ranjit Kumar

doi:10.1016/j.ecocom.2016.01.002

Cited by 12 publications

(22 citation statements)

References 27 publications

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“…But shifting to other prey when the rabbit is too scarce, that situation would fit with the sigmoidal type III functional response and is therefore not consistent with the specialist type II found in southern Portugal by Palma et al 8 Caro et al 11 investigated the feeding habits of the Bonelli raptors. At the "biogeographical" level a simple two species model, it is not adequate to develop ecological estimations at this space level and conservation 28 1 , 2 Prey per predator per day Maximum predation rates 0.69, 1.16 29 3 , 4 per day The conversion rates of S and I into P, respectively 0.5, 0.037 30…”

Section: Basic Assumptions and The Design Of Mathematical Modelmentioning

confidence: 99%

Conserving the European Bonelli's eagle in spatiotemporal domain: Lesson from its feeding pattern

Upadhyay

2021

Comp and Math Methods

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Bonelli's eagle (Hieraaetus fasciatus), a threatened species in Western Europe, has suffered a critical and severe decline in last two decades. In this article, a qualitative analysis of an ecoepidemiological model which consists of two prey and a predator is carried out. We proposed and designed a spatiotemporal model to predict the distribution of a territorial predator, Bonelli's eagle and its two main prey species (rabbit and red-legged partridge). Bounded positive solution, feasibility of the equilibria, and their stability analysis are determined for the nonspatial counterpart of the system. Criteria for diffusion-driven instability caused by local random movements of rabbits, partridges, and Bonelli's eagle are obtained. Possible implications of the result for Bonelli's eagle conservation are discussed. We show that the inclusion of second prey in the system can drastically change the dynamics from the single prey case. We also found that the presence of a second prey is beneficial for the conservation of the threatened Bonelli's eagle population in Europe. Results obtained from theoretical analysis of the nonspatial model agree very well with the numerical simulation results. Lastly, via numerical simulation, we illustrate the effect of diffusion of the dynamical system in the spatial/spatiotemporal domain by different pattern formations.

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Section: Basic Assumptions and The Design Of Mathematical Modelmentioning

confidence: 99%

Conserving the European Bonelli's eagle in spatiotemporal domain: Lesson from its feeding pattern

Upadhyay

2021

Comp and Math Methods

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“…Rabbit hemorrhagic disease (RHD) is a highly infectious and fatal disease of wild and domestic rabbits. It is a horizontally transmitted disease with no recovery [28,29,39]. Also, it is not genetically inherited as the rabbits less than two months are unaffected by the virus [29].…”

Section: Introductionmentioning

confidence: 99%

“…It is a horizontally transmitted disease with no recovery [28,29,39]. Also, it is not genetically inherited as the rabbits less than two months are unaffected by the virus [29]. This disease caused high rabbit mortality in China (1984), Europe (1988) and Spain (1991) [28,39].…”

Section: Introductionmentioning

confidence: 99%

“…The dynamics of both the host and the interacting species are widely affected by the infectious disease as it affects the population size. Therefore, many authors studied the spread of infection among either of prey-predator [5,10,17,29,30,37,38]. Recently many researchers also discussed the dynamical properties of the system where both prey-predator are suffering from an infection [7,13,14,20,27].…”

Section: Introductionmentioning

confidence: 99%

“…Pech and Hood [28] have done the only quantitative analysis of rabbit-alternative prey-fox dynamics and discussed the consequences of RHD on the red fox population and its alternative prey. Roy and Upadhyay's [29] studied RHD's effect on the European rabbit-red fox spatiotemporal dynamics. This article discussed that the red fox population is declining due to rabbit hemorrhagic disease in its prey, i.e., European rabbit.…”

Section: Introductionmentioning

confidence: 99%

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Infection dynamics of rabbit and red fox with alternative prey

Gupta¹,

Dhar²,

Sinha³

2022

J. Math. Computer Sci.

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In many countries, the decline in red foxes due to Rabbit hemorrhagic disease (RHD) in primary prey European rabbits is a significant concern. We proposed a four-compartment spatiotemporal rabbits-alternative prey-red fox eco-epidemiological model with mange disease and hunting in red foxes. The essential theoretical properties, such as existence, boundedness, stability, and bifurcation analysis, are executed. We have also conducted Turing instability and Higher-order stability analysis for the spatiotemporal model. Hopf bifurcation is shown at a critical value of hunting rate h = h c using central manifold theory. Numerical simulation reveals that the present dynamic is chaotic for a mange disease transmission rate's threshold value β = β + , the most significant factor in the present dynamics. We can control the red fox population by controlling the mange contact rate despite RHD disease in European rabbits. Also, the model does not have diffusion-driven instability due to alternative prey, and if the system is linearly stable, it remains stable for higher-order.

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