Cooperative hunting in a discrete predator-prey system

We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population. The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate. A sufficient condition based on the model parameters for which both populations can coexist is derived, namely that the predator's maximal reproductive number exceeds one. We study existence of interior steady states and their stability in certain parameter regimes. It is shown that the system behaves asymptotically similar to the model with no cooperative hunting if the degree of cooperation is small. Large cooperative hunting, however, may promote persistence of the predator for which the predator would otherwise go extinct if there were no cooperation

Imitation, local interaction, and efficiency: reappraisal

We revisit the model of Alos-Ferrer and Weidenholzer (2006) but under the assumption that risk-dominant equilibria are Pareto efficient. It is found that risk-dominant equilibria, non-risk-dominant equilibria, and some non-monomorphic states can emerge in the long run when players interact with their immediate neighbors only.Coordination game, imitation, local interaction

A limit theorem for pattern synthesis in image processing

We prove two mixed limit theorems for pattern synthesis, one for linear and one for cyclic connection graphs. This extends an earlier result for linear graphs in that it shows that the acceptor function need only satisfy weak conditions for the limits to exist.pattern synthesis image processing prior distribution

A formula for EW exp(−2−1a2∣x+y∣22)E_W\;{\rm exp}(-2^{-1}a_2|x+y|^2_2)

[[sponsorship]]數學研究所[[note]]已出版;具代表

Equilibrium Selection in Coordination Games with Local Interaction and Imitation(II):Imitating the Total Payoffs

[[sponsorship]]數學研究所[[note]]出版中(submitted);有審查制度;不具代表

Comparison of Metropolis algorithm and Swendsen Wang dynamics

[[sponsorship]]數學研究所[[note]]已出版;具代表

Templeting and self-assembly

[[sponsorship]]數學研究所[[note]]已出版;具代表

Inequalities for the score constant in matching random sequences

[[sponsorship]]數學研究所[[note]]已出版;具代表

Asymptotic dynamics of a competition system with Allee effects and stocking

[[sponsorship]]數學研究所[[note]]已出版;[SCI];有審查制度;具代表性[[note]]http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Drexel&SrcApp=hagerty_opac&KeyRecord=1023-6198&DestApp=JCR&RQ=IF_CAT_BOXPLO

Evolutionary prisoner\'s dilemma games with one-dimensional local interaction and imitation

[[sponsorship]]數學研究所[[note]]已出版;[SCI];有審查制度;不具代表性[[note]]http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Drexel&SrcApp=hagerty_opac&KeyRecord=0001-8678&DestApp=JCR&RQ=IF_CAT_BOXPLO