The effect of predator competition on positive solutions for a predator–prey model with diffusion

Wei, Meihua; Wu, Jianhua; Guo, Ge

doi:10.1016/j.na.2012.04.021

Cited by 18 publications

(4 citation statements)

References 11 publications

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“…While interactions among alien and native species have recently received increasing attention (Balzani et al, 2016;Busst & Britton, 2017;Strayer, 2010), the current issue is to understand interactions among alien species (Bissattini & Vignoli, 2017 ;Ricciardi, 2001). Particularly interesting, even if difficult to address, is the scenario of a top predator confronted with the introduction of another potential alien top predator that originates from a different area, and how relationships with other present species are affected (Griffen, Guy, & Buck, 2008;Wei, Wu, & Guo, 2012).…”

Section: Introductionmentioning

confidence: 99%

When alien catfish meet—Resource overlap between the North American Ictalurus punctatus and immature European Silurus glanis in the Arno River (Italy)

Haubrock

Azzini

Balzani

et al. 2019

Ecology of Freshwater Fish

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Due to the increasing globalisation and ongoing introduction of alien species specifically regarding European freshwater ecosystems, native and already present alien species will be confronted with competitors with unknown outcomes. One such case is the situation of the European catfish Silurus glanis introduced in the Arno River (Central Italy), a species sought after by anglers, which is facing competition from the later introduced alien North American channel catfish Ictalurus punctatus. Large catfish species are highly valued among anglers, but their interspecific interactions and potential ecosystem-level impacts are still poorly known. We used stomach contents and stable isotope analyses to study niche partitioning between these two alien catfish species, coexisting in the Arno River. The results suggest partial niche segregation, with immature S. glanis showing a narrower dietary and isotopic niche and a slightly higher trophic position than I. punctatus. Monitoring the catfish population sizes, trophic niches and effects on lower trophic levels are essential for future management and mitigation of their potential impacts on invaded freshwater ecosystems. K E Y W O R D Salien species, dietary analysis, interactions, isotope analyses, niche overlap, niche partitioning

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Section: Introductionmentioning

confidence: 99%

When alien catfish meet—Resource overlap between the North American Ictalurus punctatus and immature European Silurus glanis in the Arno River (Italy)

Haubrock

Azzini

Balzani

et al. 2019

Ecology of Freshwater Fish

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“…Wang and Wu [36] studied a slightly different model, where the growth rate of the predator is logistic type in the absence of prey, and obtained the stability and multiplicity of the positive solutions when some parameters are large or small. We remark that there are also many results on other predator-prey models with CM functional response [18,32,37,41,42].…”

Section: Introductionmentioning

confidence: 85%

Stationary patterns of a diffusive predator–prey model with Crowley–Martin functional response

Chen

Wei

2018

Nonlinear Analysis: Real World Applications

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A diffusive predator-prey system with predator interference and Neumann boundary conditions is considered in this paper. We derive some results on the existence and nonexistence of nonconstant stationary solutions. It is shown that there exist no nonconstant stationary solutions when the effect of the predator interference is strong or the conversion rate of the predator is large, and nonconstant stationary solutions emerge when the diffusion rate of the predator is large.

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“…The Hopf bifurcation of model (1.3) was also investigated in [26,32]. We remark that there are also many results on the pattern formations for other diffusive predator-prey models and chemical reaction-diffusion models, see [1,13,17,18,20,21,23,28,29,30,31,34] and references therein.…”

Section: Shanshan Chenmentioning

confidence: 99%

Nonexistence of nonconstant positive steady states of a diffusive predator-prey model

Chen¹

2018

Communications on Pure &Amp; Applied Analysis

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In this paper, we investigate a diffusive predator-prey model with a general predator functional response. We show that there exist no nonconstant positive steady states when the interaction between the predator and prey is strong. This result implies that the global bifurcating branches of steady state solutions are bounded loops for a predator-prey model with Holling type III functional response.

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The effect of predator competition on positive solutions for a predator–prey model with diffusion

Cited by 18 publications

References 11 publications

When alien catfish meet—Resource overlap between the North American Ictalurus punctatus and immature European Silurus glanis in the Arno River (Italy)

When alien catfish meet—Resource overlap between the North American Ictalurus punctatus and immature European Silurus glanis in the Arno River (Italy)

Stationary patterns of a diffusive predator–prey model with Crowley–Martin functional response

Nonexistence of nonconstant positive steady states of a diffusive predator-prey model

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