Spiking neural P systems with inhibitory rules (in short, IR-SN P systems) are a kind of bio-inspired computing systems, which are abstracted by the inhibitory synaptic mechanism of biological neurons. IR-SN P systems work in synchronous mode. This paper investigates their sequential version, sequential IR-SN P systems (in short, IR-SSN P systems). In sequential mode, not only the rules in each neuron are applied sequentially, but also the neurons fire in a sequential manner. The maximum-spike-number strategy is considered in sequential mode, and two sub-modes are further distinguished: max-sequentiality strategy and max-pseudo-sequentiality strategy. Computational completeness of IR-SSN P systems as number generating/accepting devices and function computing devices are discussed. It is proven that IR-SSN P systems are Turing universal number generating/accepting devices. Moreover, a small universal IR-SSN P system for computing functions is established in max-sequential strategy.

具有抑制规则的尖峰神经P系统（简称IR-SN P系统）是一种仿生计算系统，是通过生物神经元的抑制突触机制抽象出来的。IR-SN P 系统工作在同步模式。本文研究了它们的顺序版本，即顺序 IR-SN P 系统（简称 IR-SSN P 系统）。在顺序模式下，不仅每个神经元中的规则是顺序应用的，而且神经元也以顺序方式触发。在顺序模式下考虑最大尖峰数策略，并进一步区分两个子模式：最大顺序策略和最大伪顺序策略。IR-SSN P 系统作为数字生成/接收设备和函数计算设备的计算完整性进行了讨论。事实证明，IR-SSN P 系统是图灵通用数字生成/接受设备。此外，在最大序列策略中建立了一个用于计算功能的小型通用IR-SSN P系统。