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Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect

Xiaozhou Feng, Hao Sun, Yangfan Xiao, Feng Xiao, Songbai Guo
2020 Complexity  
This paper investigates the diffusive predator-prey system with nonmonotonic functional response and fear effect.  ...  Firstly, we discussed the stability of the equilibrium solution for a corresponding ODE system.  ...  In [8] , Pang and Wang considered a predator-prey model incorporating a nonmonotonic functional response which is called the Monod-Haldane or Holling type IV function: u t − d 1 Δu � ru 1 − u k − puv  ... 
doi:10.1155/2020/8899114 fatcat:pnmikals2fciraa7kd2wsx6dv4

Nonhierarchical Dispersal Promotes Stability and Resilience in a Tritrophic Metacommunity

Eric J. Pedersen, Justin N. Marleau, Monica Granados, Holly V. Moeller, Frédéric Guichard
2016 American Naturalist  
As with other interactions, the structure of dispersal can affect the stability of a system.  ...  Our system is stabilized by the formation of patterns when predators disperse frequently and herbivores disperse rarely, and via asynchrony when both predators and herbivores disperse infrequently.  ...  Doedel for advice and training on continuation analysis. We also thank S. Connolly, D. Green, E. Low-Decarie, A. Rossberg, P. Thompson, C.  ... 
doi:10.1086/685773 pmid:27105000 fatcat:lbsxhha2szc3pnjwmog6mtoawm

A predator-prey model with cooperative hunting in the predator and group defense in the prey

Yanfei Du, Ben Niu, Junjie Wei
2021 Discrete and continuous dynamical systems. Series B  
<p style='text-indent:20px;'>In this paper we propose a predator-prey model with a non-differentiable functional response in which the prey exhibits group defense and the predator exhibits cooperative  ...  Detailed bifurcation analysis is carried out to explore the effect of cooperative hunting in the predator and aggregation in the prey on the existence and stability of the coexistence state as well as  ...  The authors are grateful to the handling editor and anonymous referees for their careful reading of the manuscript and valuable comments, which improve the exposition of the paper very much.  ... 
doi:10.3934/dcdsb.2021298 fatcat:4ywmmmnprzgylnu3zqdhrh4wdi

Abstracts of Working Papers in Economics

1998 Abstracts of Working Papers in Economics  
Recently some researchers have suggested that economies of scale and imperfect competition play a major role in determining the effects of exogenous policy shocks.  ...  We present results for three different types of non-competitive regimes and compare these with results generated by a traditional (constant returns and perfect competition) version of the same model. .  ...  AB This paper presents an overview of recent theoretical and empirical research on "liquidity models" in open economies; this is a class of optimizing models where money has effects on real asset prices  ... 
doi:10.1017/s0951007900003715 fatcat:v7mqbbzwkveqpbazcolpnziqqi