This paper concerns with the global existence and boundedness of classical solution of the higher-dimensional forager–exploiter model with homogeneous Neumann boundary condition and nonnegative initial data. For cases where there are no forager and exploiter growth sources, it will be shown that if either the initial data and the production rate of nutrient are small or the taxis effects are small, then the classical solution exists globally and is bounded. For the case that only the forager has growth source, when [Formula: see text], it will be shown that if the taxis effect of exploiter is small then the classical solution exists globally and is bounded. For the case that both the forager and exploiter have growth restrictions, when [Formula: see text], we find a condition for the logistic degradation rates that ensures the global existence and boundedness of the classical solution.

中文翻译：

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具有/不具有增长源的高维觅食者-剥削者模型的全局有界解

本文关注具有齐次 Neumann 边界条件和非负初始数据的高维觅食者-剥削者模型经典解的全局存在性和有界性。对于没有觅食者和剥削者生长源的情况，将表明，如果初始数据和养分的生产率较小或出租车效应较小，则经典解是全局存在且有界的。对于只有觅食者有增长源的情况，当[公式：见正文]时，会证明如果experience的出租车效应较小，则经典解是全局存在且有界的。对于觅食者和剥削者都有增长限制的情况，当【公式：见正文】时，