Scholarlink

<p>We prove the global existence and boundedness of solutions to a diffusive predator-prey model with taxis mechanism and prey-stage in a bounded real interval on the Neumann boundary condition. Then by choosing the taxis coefficient <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="33_2025_2446_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\xi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ξ</mi> </math></EquationSource> </InlineEquation> as the bifurcation parameter and applying the bifurcation theory, we show the existence of Hopf bifurcations and steady-state bifurcations and find that the parameter <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="33_2025_2446_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\xi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ξ</mi> </math></EquationSource> </InlineEquation> can promote the complexity of the spatiotemporal patterns. The stability of steady states of the system can also be expected under some additional conditions. Moreover, some numerical simulations are performed to demonstrate our results on the occurrence of the periodic patterns and steady-state patterns.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Spatiotemporal dynamic of a diffusive predator-prey model with prey-stage and taxis mechanism

  • 期刊论文

  • 发表日期：

    2025年2月17日

查看全文
  • Sainan Wu,
  • Dongxu Geng,
  • Mengqin Wang,
  • Yiran Wang

摘要

We prove the global existence and boundedness of solutions to a diffusive predator-prey model with taxis mechanism and prey-stage in a bounded real interval on the Neumann boundary condition. Then by choosing the taxis coefficient \(\xi \) ξ as the bifurcation parameter and applying the bifurcation theory, we show the existence of Hopf bifurcations and steady-state bifurcations and find that the parameter \(\xi \) ξ can promote the complexity of the spatiotemporal patterns. The stability of steady states of the system can also be expected under some additional conditions. Moreover, some numerical simulations are performed to demonstrate our results on the occurrence of the periodic patterns and steady-state patterns.