On an age structured population model with density-dependent dispersals between two patches

Cheng, Chang Yuan; Chen, Shyan Shiou; Zou, Xingfu

doi:10.3934/mbe.2019251

Cited by 2 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Mathematical models of population growth coupled by migration or dispersal have often been used to analyze population stability by employing the use of bifurcation diagrams (Ruxton, 1996;Moretti et al, 2013;Pal et al, 2018). Values of demographic parameters and dispersal rates generally have a strong association with the stability of population equilibria (Moretti et al, 2013;Pal et al, 2018;Cheng et al, 2019).…”

Section: Discussionmentioning

confidence: 99%

“…Studies that emphasise the relationship of demographic parameters with the stability of equilibria has long been discussed (Ruxton 1996; Moretti et al 2013; Pal et al 2018; Cheng et al 2019). There are compensatory mechanisms that can explain the relationship between life history and the demographic parameters involved in the growth rate and carrying capacity, which suggests possible compensations for populations in low and high densities, as already investigated in D. melanogaster (Mueller & Ayala 1981).…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Plant-host shift, spatial persistence, and the viability of an invasive insect population

Silva¹,

McGrane-Corrigan

Mason

et al. 2021

Preprint

View full text Add to dashboard Cite

Drosophila suzukii (Diptera: Drosophilidae) has become a pervasive pest in several countries around the world. Many studies have investigated the preference and attractiveness of potential hosts on this invasive, polyphagous drosophilid. Thus far, no studies have investigated whether a shift of fruit host could affect its ecological viability or spatiotemporal persistence. In this study, we analysed the fecundity and oviposition period jointly with the survival time of D. suzukii subject to a shift in host fruit, using a joint modelling method for longitudinal outcomes and time-until-event outcomes. The number of eggs laid by females was higher in raspberry than in strawberry and when setting adults of F1 generation underwent a first host shift. The joint modelling also suggested that insects reared on raspberry survived longer. We then combined experimental results with a two-patch dispersal model to investigate how host shift in a species that exhibits both passive and density-dependent dispersal may affect its asymptotic dynamics. In line with empirical evidence, we found that a shift in host choice can significantly affect the growth potential and fecundity of a species such as D. suzukii, which ultimately could aid such invasive populations in their ability to persist within a changing environment.

show abstract