2018
DOI: 10.3390/math6070113
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Analysis of the Incidence of Poxvirus on the Dynamics between Red and Grey Squirrels

Abstract: A model for the interactions of the invasive grey squirrel species as asymptomatic carriers of the poxvirus with the native red squirrel is presented and analyzed. Equilibria of the dynamical system are assessed, and their sensitivity in terms of the ecosystem parameters is investigated through numerical simulations. The findings are in line with both field and theoretical research. The results indicate that mainly the reproduction rate of the alien population should be drastically reduced to repel the invasio… Show more

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Cited by 9 publications
(14 citation statements)
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“…This study focused on the selling price of online group purchases and considered various parameters, such as the upper limit of demand L, the unit cost c, the influence coefficient of the price on demand E, etc. This study used the grey correlation ranking method and grey multi-attribute decision-making (TOPSIS) to further determine the optimal shelf-time, inventory quantity, and selling price (key parameters) of commodities in order to design a plan that makes the maximum profit for the industry and provides the best service to customers [6][7][8][9][10][11][12]. In previous studies, Ni et al [9], considered the optimal fixed-price decisions, Deng et al [10] considered the optimal price and maximum deal size, and Lu et al [2] considered effect of behavior on workplace relationships in online group purchasing.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…This study focused on the selling price of online group purchases and considered various parameters, such as the upper limit of demand L, the unit cost c, the influence coefficient of the price on demand E, etc. This study used the grey correlation ranking method and grey multi-attribute decision-making (TOPSIS) to further determine the optimal shelf-time, inventory quantity, and selling price (key parameters) of commodities in order to design a plan that makes the maximum profit for the industry and provides the best service to customers [6][7][8][9][10][11][12]. In previous studies, Ni et al [9], considered the optimal fixed-price decisions, Deng et al [10] considered the optimal price and maximum deal size, and Lu et al [2] considered effect of behavior on workplace relationships in online group purchasing.…”
Section: Discussionmentioning
confidence: 99%
“…Therefore, this study focuses on the selling price of online group buying products and considers various parameters, such as the upper limit of demand L, the unit cost c, the influence coefficient of price on demand E, etc. This study uses the grey correlation ranking method and grey multi-attribute decision-making (plan selection) to further plan the optimal shelf-time, inventory quantity, and selling price (key parameters) of commodities in order to design a plan that makes maximum profit for the industry and provides the best service to customers [6][7][8][9][10][11][12].…”
Section: Introductionmentioning
confidence: 99%
“…Taking into account these recent findings and hypotheses, we develop here a one predator-two prey ecoepidemic model, including SQPV transmission. In this paper we extend the analysis performed by [1] in the absence of pine martens. The aim is to understand under which conditions this ecosystem could evolve toward a situation favourable to the native species, considering various parameter configurations.…”
mentioning
confidence: 83%
“…Several studies suggested that the disease transmission should therefore be taken into account to explain the observed replacement rate between red and grey squirrels, [23,26]. Indeed, considering reference values for population parameters [31,15], a model developed in [1] confirmed that a system made up of grey, red and infected red squirrels is likely to evolve toward a grey-only situation, with the disappearance of the red species in a timespan that depends on the red squirrel overall mortality. In [24] it is also observed that the introduced grey squirrels harbour an impoverished parasite community compared to their native range.…”
mentioning
confidence: 99%
“…To underpin the concern that environmental change of whatever sort (climate, habitat encroachment or fragmentation) can flip an ecosystem from stable persistence to sudden total collapse, we consider a class of so-called ecoepidemic models. Some ecoepidemic models [47] consider several hosts and a parasite that mediates or otherwise influences competition [5,37,41] or cooperation [63] between them; others consider a predator-prey-parasite system where the parasite afflicts the prey or/and the predator and affects the predation process ( [1,2,4,8,9,11,12,16,26,27,39,40,46,48,52,51,64,65,68,69,70,71] and the references therein).…”
mentioning
confidence: 99%