Ryusuke Kon
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Adaptive delayed reproduction in a 2-dimensional discrete-time competition model Open
This paper studies a 2-dimensional discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same properties except that a fraction η of species 1 indiv…
Stability of Rosenzweig–MacArthur models with non-diffusive dispersal on non-regular networks Open
This paper examines the stability of the Rosenzweig-MacArthur model distributed to identical discrete habitat patches. Migration between patches is assumed to follow the non-diffusive rule that individuals have a fixed rate of leaving thei…
Cross-diffusion predator–prey model derived from the dichotomy between two behavioral predator states Open
Cross-diffusion may be an important driving force of pattern formation in population models. Recently, a relation between cross-diffusion and reaction-diffusion systems has been revealed from the mathematical modeling point of view. In thi…
A Mathematical Model for Transmission of Hantavirus among Rodents and Its Effect on the Number of Infected Humans Open
In this paper, we present a mathematical model for the transmission of hantavirus among rodents and its effect on the number of hantavirus‐infected human population. We investigate the model and present a standard analysis in mathematical …
Global dynamics of a special class of nonlinear semelparous Leslie matrix models Open
This paper considers the dynamics of nonlinear semelparous Leslie matrix models. First, a class of semelparous Leslie matrix models is shown to be dynamically consistent with a certain system of Kolmogorov difference equations with cyclic …