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http://hdl.handle.net/10397/93855
Title: | Spatio-temporal dynamics of a model for the effect of variable ages at reproduction | Authors: | Lou, Y Zhang, Y |
Issue Date: | Sep-2021 | Source: | Nonlinearity, Sept. 2021, v. 34, no. 9, p. 5897-5925 | Abstract: | Some species may have totally different ages at successful reproduction (ages at maturity) in population growth. For example, Ixodes ticks, a vector species responsible for many tick-borne diseases, may suspend development and undergo diapause during maturation process, which naturally introduce distinct ages at reproduction. Although the age at reproduction is a key demographic trait that is probably under high selective pressure, it is highly variable and the effect of this variability on spatial establishment and invasion is not well understood. In this study, a spatial mechanistic model, in the form of reaction diffusion equations with nonlocal terms incorporating two different ages at reproduction, is formulated and mathematically analyzed from a dynamical system point of view. Specifically, the persistence of the species in a bounded domain can be predicted by the net reproduction number and the spreading property in an unbounded domain in terms of spreading speed and traveling waves is characterized. Numerical simulations are conducted to further illustrate the impact of ages at reproduction on the net reproduction number and the spreading speed of the species, in particular for various scenarios of fitness tradeoffs of the premature survival and early reproduction. | Keywords: | Age at reproduction Net reproduction number Nonlocal delay Reaction diffusion system Spreading speed Traveling waves |
Publisher: | Institute of Physics Publishing | Journal: | Nonlinearity | ISSN: | 0951-7715 | DOI: | 10.1088/1361-6544/ac0f50 | Rights: | © 2021 IOP Publishing Ltd & London Mathematical Society This is the Accepted Manuscript version of an article accepted for publication in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://dx.doi.org/10.1088/1361-6544/ac0f50. |
Appears in Collections: | Journal/Magazine Article |
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Lou_Spatio-Temporal_Dynamics_Model.pdf | Pre-Published version | 1.69 MB | Adobe PDF | View/Open |
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